A quantum particle is in the n=1 state of an infinitely deep square well with walls at x=0 and x=L . Let l be an arbitrary value of x between x=0 and x=L . (a) Find an expression for the probability, as a function of \ell , that the particle will be found between x=0 and x=\ell .

Answers

Answer 1

The probability of finding the particle within the range of x=0 to x=\ell is directly proportional to \ell and inversely proportional to the length of the well (L).

To find the expression for the probability, as a function of \ell, that the particle will be found between x=0 and x=\ell in the n=1 state of an infinitely deep square well, we need to evaluate the integral and simplify the expression.

Let's continue from the previous explanation:

P(\ell) = (1/L) * ∫[0, \ell] (1 - cos(2(π/L) * x)) dx

Integrating the expression with respect to x:

P(\ell) = (1/L) * [x - (L/(2π)) * sin(2(π/L) * x)] evaluated from x=0 to x=\ell

P(\ell) = (1/L) * (\ell - (L/(2π)) * sin(2(π/L) * \ell) - (0 - (L/(2π)) * sin(2(π/L) * 0))

Since sin(0) = 0, the second term in the expression becomes zero:

P(\ell) = (1/L) * (\ell - 0 - 0)

P(\ell) = \ell/L

Therefore, the expression for the probability, as a function of \ell, that the particle will be found between x=0 and x=\ell in the n=1 state of an infinitely deep square well is P(\ell) = \ell/L.

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Related Questions

A Christmas sphere will break if dropped on hardwood floor with a velocity of 2.0 m/s. Mar Estefanía is
decorating her Christmas tree when her cat, Missy, taps a sphere, causing it to fall 0.15 m from a tree branch to
the floor.
How long did it take for the sphere to hit the ground? Acceleration due to gravity is 9.8 m/s

Answers

Answer:

0.17 s

Explanation:

Given:

Δy = 0.15 m

v₀ = 0 m/s

a = 9.8 m/s²

Find: t

Δy = v₀ t + ½ at²

0.15 m = (0 m/s) t + ½ (9.8 m/s²) t²

t = 0.17 s

a 59.5-kg athlete leaps straight up into the air from a trampoline with an initial speed of 9.8 m/s. the goal of this problem is to find the maximum height she attains and her speed at half maximum height. (a) what are the interacting objects and how do they interact? this answer has not been graded yet. (b) select the height at which the athlete's speed is 9.8 m/s as y

Answers

The required answers a) store potential energy and transfer to the athlete's kinetic energy, b) height = 4.9m.

In what ways are gravitation and gravity different?

Gravitation is the actual force that exists between two bodies. On the other side, gravity is the force that holds an object to the enormous object known as the earth.

According to question:

We have,

m = 59.5-kg, v = 9.8 m/s,

(a) The interacting objects are the athlete and the trampoline. The trampoline would store potential energy and transfer to the athlete's kinetic energy.

b) K.E = P.E

\(\frac{mv^{2}}{2}\) = mgh

h = v^2/2g

h = (9.8)^2/2(9.8)

h = 9.8/2 = 4.9 m

Thus, height of the athlete is 4.9m.

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When the voltage is
4V, the light bulb
flows 300 mA. What
work does the
electricity do in 5
minutes?

Answers

Explanation:

ask to nirajan shrestha

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A sound wave has a frequency of 1.5 Hz while traveling at a speed of 50 m/s. What is the wavelength?

Answers

Answer:

33.3m

Explanation:

Recall that for a regular wave, the relationship between, wavelength, frequency  and velocity (speed) is given by :

v = fλ,

where:

v = velocity (speed) of the wave = 50m/s

f = frequency of the wave = 1.5 Hz

λ = wavelength (we are asked to find this)

simply substitute the given values into the equation:

v = fλ

50 = 1.5 λ,

λ = 50/1.5

λ = 33.3m

You ran to a mountain that is 2km high in 30 min. (a) If your mass is 80 kg, find out what potential energy you will have when you reach to the peak of the mountain. (b) How much work is done by you

Answers

(a) mass = 80kg

height h= 2km

the potential energy at the peak of the mountain= mgh=80*9.8*2000=1568000J

therefore the potential energy at the peak of the mountain is 1568000J

(b) Work done in reaching the peak will be equal to the change in potential energy = 1568000)

therefore the work done is 1568000J

(c) Power is given by

P=W/t=1568000/(30*60)=871.11W

therefore the Power is 871.11W

The work done by force can be defined as the product of the displacement of an object and the component of the applied force acting in the direction of the displacement of the object.

Potential energy is stored energy that depends on the relative position of different parts of the system. Springs have more potential energy when compressed or stretched. Steel balls have more potential energy to be lifted across the ground than after they have fallen to Earth.

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akhil francis, daiwei zhu, cinthia huerta alderete, sonika johri, xiao xiao, james k. freericks, christo- pher monroe, norbert m. linke, and alexander f. kem- per. many-body thermodynamics on quantum com- puters via partition function zeros.

Answers

The mentioned authors, Akhil Francis, Daiwei Zhu, Cinthia Huerta Alderete, Sonika Johri, Xiao Xiao, James K. Freericks, Christopher Monroe, Norbert M. Linke, and Alexander F. Kemper, have contributed to a research paper titled "Many-Body Thermodynamics on Quantum Computers via Partition Function Zeros."

The research paper explores the application of quantum computers in studying many-body thermodynamics, specifically focusing on the partition function zeros. The authors investigate how quantum computers can be utilized to calculate and analyze the partition function zeros, which play a crucial role in understanding the properties and behavior of many-body systems. By harnessing the computational power of quantum computers, this research aims to enhance our understanding of complex many-body systems and advance the field of quantum thermodynamics. The paper likely discusses the theoretical framework, methodologies, and potential implications of this approach.

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how much force does an 87.0 kg astronaut exert on his chair while sitting at rest on the launch pad?

Answers

The amount of force exerted by an 87.0 kg astronaut on his chair while sitting at rest on the launch pad is 0 N.

When an object is at rest, it is not moving, and therefore, the net force acting on it is zero. This is known as the first law of motion, also known as the law of inertia.

The law of inertia states that an object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity unless acted upon by an unbalanced force. Since the astronaut is sitting at rest, there is no net force acting on him, and therefore, the amount of force he exerts on his chair is zero.

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(342-30(B)) When IMC is installed through bored or punched holes in framing members, additional support requirements are not necessary. This applies to both wood and metal framing members.(True/False)

Answers

True. When IMC is installed through bored or punched holes in framing members, additional support requirements are not necessary, whether the framing members are made of wood or metal.

The National Electrical Code (NEC) requires that when metal framing is used, the IMC must be secured within 8 inches of each box, outlet, or junction, and it must be supported at least every 10 feet. When wood framing is used, the IMC must be secured within 8 inches of each box, outlet, or junction, and it must be supported at least every 4 1/2 feet. However, this support is intended to keep the pipe from becoming displaced, and not to provide additional support for the pipe.

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the work function of a metallic plate is 1.92 ev. determine the maximum kinetic energy of the photoelectrons that could be emitted if a light of wavelength = 458.00 nm strikes the plate's surface.

Answers

The maximum kinetic energy of the photoelectrons that could be emitted is 0.80 eV.

To determine the maximum kinetic energy of the photoelectrons emitted, we can use the photoelectric effect equation:
KE_max = h * (c / λ) - W
where KE_max is the maximum kinetic energy of the photoelectrons, h is Planck's constant (6.63 × 10^-34 Js), c is the speed of light (3.00 × 10^8 m/s), λ is the wavelength of the light (458.00 nm), and W is the work function (1.92 eV).
First, convert the wavelength from nm to meters: λ = 458.00 nm × 10^-9 m/nm = 4.58 × 10^-7 m.
Next, calculate the energy of the incident photons: E_photon = h * (c / λ) = 6.63 × 10^-34 Js × (3.00 × 10^8 m/s) / (4.58 × 10^-7 m) = 4.35 × 10^-19 J.
Convert the work function to Joules: W = 1.92 eV × (1.60 × 10^-19 J/eV) = 3.07 × 10^-19 J.
Now, find the maximum kinetic energy: KE_max = 4.35 × 10^-19 J - 3.07 × 10^-19 J = 1.28 × 10^-19 J.
Finally, convert the kinetic energy to eV: KE_max = 1.28 × 10^-19 J × (1 eV / 1.60 × 10^-19 J) = 0.80 eV.

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The maximum kinetic energy of the photoelectrons emitted from the metallic plate is 0.79 eV when light with a wavelength of 458.00 nm strikes its surface.

To determine the maximum kinetic energy of photoelectrons emitted from a metallic plate, we can use the equation:

E = hf - Φ

where E is the maximum kinetic energy of the photoelectrons, h is Planck's constant (\(6.626 \times 10^{-34\) J∙s), f is the frequency of the incident light, and Φ is the work function of the metal.

First, we need to calculate the frequency of the light using the equation:

c = λf

where c is the speed of light (\(3.0 \times 10^8\) m/s) and λ is the wavelength of the incident light. Rearranging the equation, we find:

f = c / λ

Plugging in the values, we have:

f = (\(3.0 \times 10^8\) m/s) / (\(458.00 \times 10^{-9\) m) = \(6.55 \times 10^{14\) Hz

Now, we can calculate the energy of a single photon using the equation:

E_photon = hf

Plugging in the value of f, we get:

\(E_{\text{photon}} = (6.626 \times 10^{-34} \ \text{J} \cdot \text{s}) \times (6.55 \times 10^{14} \ \text{Hz}) = 4.34 \times 10^{-19} \ \text{J}\)

To convert this energy to electron volts (eV), we divide by the electron charge (\(1.6 \times 10^{-19}\), giving:

\(E_{\text{photon}} = \frac{4.34 \times 10^{-19} \ \text{J}}{1.6 \times 10^{-19} \ \text{C}} = 2.71 \ \text{eV}\)

Finally, we can determine the maximum kinetic energy of the photoelectrons using the equation mentioned earlier:

E = E_photon - Φ

Plugging in the values, we have:

E = (2.71 eV) - (1.92 eV) = 0.79 eV

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What happens when carbon reacts with bromine?
A. Electrons become delocalized among the atoms
B. Electrons move from the carbon atoms to the bromine atoms
C. Electrons are shared between the bromine atoms and the carbon atoms
D. Electrons move from the bromine atoms to the carbon atoms

Answers

When the carbon reacts with bromine, electrons are shared between the bromine atoms and the carbon atoms to form a covalent compound. Therefore, option (C) is correct.

What are covalent compounds?

In a covalent compound, the formation of a covalent bond involves the mutual sharing of electrons between the two atoms that can hold all biomolecules together.

A covalent bond can be described as a chemical bond formed by sharing of electrons to form electron pairs between atoms. The stable attractive and repulsive forces between atoms are known as covalent bonding.[1] The sharing of electrons permits each atom to get the equivalent of a full valence shell and stable electronic configuration.

The carbon reacts with bromine to form the compound carbon tetrabromide CBr₄.

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PLEASE HELP ASAP NO LINKS

PLEASE HELP ASAP NO LINKS

Answers

Answer:

Fourth harmonic

Explanation:

As you can see each of the waves altitudes appear to be equivalent within both the crest and trough. Not only that but the wavelengths as well appear to be exactly similar. Therefore, providing me with the estimation of fourth harmonic.

A 20.0 kg sled is being pulled across a horizontal surface at a constant velocity. The pulling forve has a magnitude of 80 N and is directed at an angle of 30⁰ above the horizontal.

a) If the sled is being pulled at 1.0 m/s and the person stops pulling how far will it slide before it stops


b) If a taller person pulls the sled so that the pulling force is directed at an angle of 45⁰ above the horizontal, what magnitude of forve would be necessary to maintain constant velocity​

Answers

(a) The distance travelled by the sled before stopping is 0.15 m.

(b) The magnitude of force would be necessary to maintain constant velocity​ is 97.86 N.

What is the acceleration of the sled?

The acceleration of the sled is calculated by applying  Newton's second law of motion as follows.

F (net) = ma

where;

F is the net force applied on the sledm is the mass of the sleda is the acceleration of the sled

Fₓ = ma

F cosθ = ma

where;

Fₓ is the horizontal component of the applied forceθ is the angle of inclination of the applied force

80 cos(30) = 20a

69.28 = 20a

a = 69.28 / 20

a = 3.46 m/s²

The distance travelled by the sled is calculated as follows;

v² = u² - 2as

where;

v is the final velocity when the sled stops = 0u is the initial velocitya is the accelerations is the distance travelled

2as = u²

s = u² / 2a

s = (1²) / (2 x 3.46)

s = 0.15 m

The force needed to maintain a constant velocity is calculated as follows;

F cos(45) - Ff = ma

at constant velocity, acceleration = 0

F cos(45) - Ff = 0

F cos(45)  = Ff

F cos(45) = (20 x 3.46)

F = (20 x 3.46) / cos(45)

F = 97.86 N

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What information do we know about the known exoplanets? a. estimates of orbits and masses b. complete composition c. precise masses d. all of the above e. none of the above

Answers

The correct option is A. The information we know about the known exoplanets is estimates of orbits and masses.

What is exoplanets?

An exoplanet or extrasolar planet is a planet outside the Solar System.

In other words, exoplanet is any planet beyond our solar system.

Characteristics of exoplanets

exoplanets are known for the following characteristics;

they are usually hotthey can orbit their stars so tightly that a “year” lasts only a few daysthey can orbit two suns at once

Thus, the information we know about the known exoplanets is estimates of orbits and masses.

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an object is acted upon by a force of 22 newtons to the right and a force of 14 newtons to the left. what is the magnitude and direction of the net force?

Answers

Given:

1. Force to the right = 22N
2. Force to the left = 14N

Net force=22-14
=8N

Direction is of the greater force= right

Therefore the resultant force is 8N to the right

6. What charge is in the nucleus?
a. negative charge
b. positive charge
C. no charge
d. positive and negative charges

Answers

The nucleus is a Negative charge I believe
The nucleus has a positive charge because it contains the protons :)) hope this helped

what is the name of the principle that explains why boats can float?

Answers

The principle that explains why boats can float is called "Archimedes' Principle." This principle states that an object submerged in a fluid experiences an upward buoyant force equal to the weight of the fluid displaced by the object. In the case of boats, the shape and design allow them to displace enough water to create a buoyant force that counteracts their weight, enabling them to float.

The name of the principle that explains why boats can float is "Archimedes' principle." This principle states that any object, including boats, will float in a fluid if the weight of the displaced fluid is equal to the weight of the object. This means that when a boat is placed in water, it displaces an amount of water equal to its weight, which creates an upward force called buoyancy that helps it stay afloat.

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A car traveling 29 mi/h accelerates uniformly for 8.5 s, covering 471 ft in this time.What was its acceleration? Round your answer to the nearest 100th place.Answer in units of ft/s.

Answers

Explanation:

We know that :

u = 29 mph = 12.96 m/s

S = 471 ft = 143.5 m

t = 8.5 sec

\(s = ut + \frac{1}{2} a {t}^{2} \)

143.5 = 12.96 * 8.5 + 1/2 * a * 72.25

a = 66.68 / 72.25

a (Acceleration) = 0.92 m/sec^2

= 3.01 ft/sec^2

When an operator presses the start button on a motor control, where is the power supplied next?
A. Heating circuit
B. Line contactor coil
C. Control Circuit
D. Motor control housing

Answers

C. Control circuit is the answer

!PLEASE HELP! 35 POINTS!
Answer the following questions in complete sentences.



A student secures a picture frame to a wall using a screw.



Part A: In terms of force, direction, and distance, explain how the screw makes the student's work easier.



Part B: Describe a change to this screw design that would make this student’s work even easier.

Answers

Answer:

Explanation:

A:  Screws are a simple machine that make doing work easier.

Work = W = Fd

F = W/d

So by increasing distance (d), you decrease the amount Force needed to do the work.

By applying a small rotational force (circular direction) on the screw, the axial force is amplified.  It takes less force to turn a screw around than to drive a nail straight into the wall.

B:  To make the job even easier, choose a screw with a "finer" thread.  The smaller the pitch (the distance between the screw's threads), the greater the mechanical advantage (the ratio of output to input force).  

Part A: The screw makes the student's work easier by providing a force that is directed downwards into the wall, allowing the student to secure the picture frame in place with a relatively small distance of travel.

What is force?

Force is a physical quantity that is defined as the product of mass and acceleration. It is a vector quantity, meaning it has both magnitude and direction. Force is one of the fundamental concepts of physics and is responsible for the motion of objects. It is also responsible for the interaction between objects, such as the force of gravity that keeps the planets in orbit around the sun. Force can be applied to objects in order to cause them to move, accelerate, decelerate, or change direction. Force can also be used to do work, such as lifting a weight or pushing a car. Force is an important concept in physics and is used to explain many phenomena in the natural world.

Part B: A change to the screw design that would make the student's work even easier would be to use a self-tapping screw, which has a sharp point that allows it to cut its own thread into the wall, eliminating the need to pre-drill a hole. This would reduce the amount of effort required to secure the picture frame to the wall.

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What provides all of the energy required to drive convection within the atmosphere and oceans?

Answers

Answer:

please give me brainlist and follow

Explanation:

The heating of the Earth's surface and atmosphere by the sun drives convection within the atmosphere and ocean. This convection produces winds and ocean currents.

Which of the following is a basic solution?

Answers

Answer:

what exactly are the following?

Pretend you are an astronaut standing on the moon while the moon is in full position. ou are standing in the middle of the side of the moon closest to earth. How would the ground look? How would the earth look? In your answer describe what is in sunlight and what is in darkness.

Answers

Answer:

During a full moon phase, the Earth is aligned between the sun and the moon, wherein one side of the Earth is facing the sun, while the other side that faces the moon is in darkness.

In this case, when the astronaut stands in the near side of the moon, the ground is lit up due to the sun’s light that it reflects. On the other hand, the astronaut’s view of the Earth would look dark.

Explanation:

Answer:

the grond will be something like something that has holes in them and the earth will look like a big ball also the moon will be in darkness and the earh will have light. l guess in my imagination

A wooden block with mass 1.15 kg is placed against a compressed spring at the bottom of a slope inclined at an angle of 29.0° (point A). When the spring is released, it projects the block up the incline. At point B, a distance of 7.55 m up the incline from A, the block is moving up the incline at a speed of 6.25 Im/s and is no longer in contact with the spring. The coefficient of kinetic friction between the block and incline is 0.45. The mass of the spring is negligible.

Constants Part A Calculate the amount of potential energy that was initially stored in the spring. Take free fall acceleration to be 9.80 m/s^2.

Answers

To calculate the amount of potential energy initially stored in the spring, we need to consider the conservation of mechanical energy.

The mechanical energy of the block-spring system is conserved when no external forces other than gravity and friction are acting on it. At point A, the mechanical energy is stored entirely as potential energy in the compressed spring. The potential energy stored in the spring can be calculated using the formula: Potential Energy (PE) = (1/2)kx^2

where k is the spring constant and x is the displacement of the spring from its equilibrium position.

To find the spring constant, we need to know the force constant of the spring (k) or the spring's compression distance (x). Unfortunately, this information is not provided in the given question. If you have any additional information about the spring constant or the compression distance, please provide it so that I can assist you further.

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A clown 2 m tall looks at himself in a full-length mirror (floor-to-ceiling). Where in the mirror must he look to see his feet?
O 1 m from the floor
O 50 cm from the floor
O 25 cm from the floor
O at the bottom of the mirror
O 1.5 m from the floor

Answers

The clown should look 1 m from the floor to see his feet in the full-length mirror.

The height of the clown is 2 m, and the mirror is a full-length mirror, which means it covers the entire height of the clown from the floor to the ceiling. Therefore, the clown's reflection in the mirror will also be 2 m tall.  

To see his feet in the mirror, the clown needs to look at the same distance from the floor as the distance between his feet and the floor. Since the clown's height is 2 m and his feet are at the bottom, 1 m away from the floor, he needs to look at a distance of 1 m from the floor to see his feet in the mirror. Therefore, the correct answer is "O 1 m from the floor."

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Scientist use common system of measurement called international system of units, or si units , which is based on the ________ system

Answers

Scientist use common system of measurement called international system of units, or si units , which is based on the metric system.

Answer:

based on the metric system

Explanation:

have a nice day

Match each part of a nephron with its function. 1 Glomerulus 2 Distal tubule Bowman's capsule frenal corpuscle) 3 Permeability controlled by hormones: can absorb additional sodium and water 5 Proximal convoluted tubule Match each of the options above to the items below. Receives filtrate from the glomerulus. Permeability controlled by hormones; can absorb additional sodium and water. 1 Increases osmolarity of medulla; absorbs water. Absorbs 80% of filtrate, including water, glucose, and amino acids Help Save & E Seved (renal corpuscle 3 controlled by hormones; can absorb additional sodium and water 5 Proximal convoluted tubule Match each of the options above to the items below. Receives filtrate from the glomerulus. Permeability controlled by hormones, can absorb additional sodium and water. Increases osmolarity of medulla; absorbs water, Absorbs 80% of filtrate, including water, glucose, and amino acids. Filtration of plasma

Answers

While large proteins and cells are kept in the blood as long as the kidney filter is functioning normally, small blood molecules freely enter Bowman's space.

What is the main function of part nephron?

By keeping the vital plasma proteins from the blood and ensuring selective ultrafiltration, the kidney glomerulus maintains its function. A fenestrated endothelium, GBM, and podocytes make up its three main parts, which together make up the glomerular filtration assembly.

Therefore, A glomerular filtrate is created when fluid and solutes from the blood are removed at the glomerulus in the nephron.

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Tarzan prepares to swing and much to his dismay, gets his loincloth stuck on a branch. He's left hanging with the vine pulling him upwards at a 40-degree angle and his loincloth pulling him horizontally to the right. 1.) Tarzan's mass is 75kg. Calculate his weight. 2.) Use the appropriate equation for for the forces on Tarzan to determine the tension on the vine. 3.) Determine the tension on the vine

Answers

(1) The weight of Tarzan is 735 N.

(2) The equation for the tension on the vine is T = W sinθ.

(3) The tension on the vine is 472.4 N.

What is the weight of Tarzan?

The weight of Tarzan is the downward force of gravity acting on Tarzan due to its weight point downwards.

Mathematically, the formula for the weight of Tarzan is given as;

W = mg

where;

m is the mass of Tarzang is the acceleration due to gravity of Earth

The given parameters include;

the mass of Tarzan = 75 kg

acceleration due to gravity = 9.8 m/s²

W = 75 x 9.8

W = 735 N

The tension on the vine is calculated as follows;

T = W sinθ

where;

θ is the angle of inclination

T = 735 x sin (40)

T = 472.4 N

Thus, the tension in the vine is the vertical component of Tarzan's weight.

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If an object of mass 70kg falls from a height of 500 m, what is the maximum velocity of the object?

Answers

Answer:

H = 1/2 * g * t^2     since initial velocity is zero

v = g * t    where v is the final velocity

t = v / g

H = 1/2 g * v^2 / g^2 = 1/2 v^2 / g

v = (2 * H * g)^1.2

v = (2 * 500 * 9.8)^1/2 = 99 m/s

Check: t = v / g = 99 / 9.8 = 10.1 sec

H = 1/2 * 9.8 * 10.1^2 = 500 m

A pirate fires his cannon parallel to the water but 3.5 m above the water. The cannonball leaves the cannon with a velocity of 120 m/s. He misses his target and the cannonball splashes into the briny deep. How far did the cannonball travel? (please show work)

Answers

Answer:

202.8m

Explanation:

Given that A pirate fires his cannon parallel to the water but 3.5 m above the water. The cannonball leaves the cannon with a velocity of 120 m/s. He misses his target and the cannonball splashes into the briny deep.

First calculate the total time travelled by using the second equation of motion

h = Ut + 1/2gt^2

Let assume that u = 0

And h = 3.5

Substitute all the parameters into the formula

3.5 = 1/2 × 9.8 × t^2

3.5 = 4.9t^2

t^2 = 3.5/4.9

t^2 = 0.7

t = 0.845s

To know how far the cannonball travel, let's use the equation

S = UT + 1/2at^2

But acceleration a = 0

T = 2t

T = 1.69s

S = 120 × 1.69

S = 202.834 m

Therefore, the distance travelled by the cannon ball is approximately 202.8m.

Given two different resistances, how does the rate of joule heating in them differ if they are connected to a fixed voltage source in series and in parallel?

Answers

In series combination less rate of joule hating should be observed as compared to when connected in parallel combination .

Joule heating, also known as resistive, resistance, or Ohmic heating, is the process by which the passage of an electric current through a conductor produces heat.

Joule's first law states that the power of heating generated by an electrical conductor equals the product of its resistance and the square of the current:

When two or more resistors are connected end to end consecutively, they are said to be connected in series combination. The combined resistance of any number of resistances connected in series is equal to the sum of the individual resistances.

When two or more resistances are connected between the same two points, they are said to be connected in parallel combination. The reciprocal of the combined resistance of a number of resistances connected in parallel is equal to the sum of the reciprocals of all the individual resistances.

Rate of joule heating can be calculated by the formula

Power = \(V^{2}\) / R

V = voltage

R = resistance

When both are connected in series than their equivalent resistance will be more as compared to when they are connected in parallel.

Power is inversely related to resistance , if voltage is constant

In series combination less rate of joule hating should be observed as compared to when connected in parallel

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