Four point charges Q , q , Q and q are placed at the corners of a square of side a as shown in the figure. Find ii electrical potential energy of the system.

potential energy, stored energy that depends upon the relative position of various parts of a system. A spring has more potential energy when it is compressed or stretched. A steel ball has more potential energy raised above the ground than it has after falling to Earth Potential energy of the system = 1 4 π ε 0 Q q A B + q Q B C + Q q C D + Q q A D + q q B D + Q Q A C = 1 4 π ε 0 4 q Q a + q 2 2 a + Q 2 2 a = 1 4 π ε 0 a 4 q Q + q 2 2 + Q 2 2

On which factors, does the capacitance of a parallel plate capacitor depend ? A parallel plate air capacitor is of 3 pF capacitance. When a plate of dielectric constant k and thickness 3 d 4 is placed between the plates of the capacitors the capacitance of the capacitor becomes 6 pF . Find the magnitude of k , where d is the distance between the plates of the capacitor.

The capacitance of a parallel plate capacitor depends on area of each plate, dielectric medium between the plates and distance between the plates. The capacitance of a parallel plate capacitor is given by the formula = C = ϵ ∘ A d Where, A is the area of each plate, d is the distance between the plates and, ϵ is the permittivity of the space between the plates C = ε ∘ A d = 3 μ = ε ∘ A d . . . . . . . . . . . . . . . . . . . . i C ' = ε ∘ A d - t + t k = 6 μ = ε ∘ A d - 3 d 4 + 3 d 4 k 6 μ = ε ∘ A dk + 3 d 4 k . . . . . . . . . . . . . . . ii Dividing i from ii We get. 1 2 = dk + 3 d 4 kd ∴ 4 kd = 2 dk + 6 d 2 kd = 6 d k = 3

Four point charges Q , q , Q and q are placed at the corners of a square of side a as shown in the figure. Find ii electrical potential energy of the system.

potential energy, stored energy that depends upon the relative position of various parts of a system. A spring has more potential energy when it is compressed or stretched. A steel ball has more potential energy raised above the ground than it has after falling to Earth Potential energy of the system = 1 4 π ε 0 Q q A B + q Q B C + Q q C D + Q q A D + q q B D + Q Q A C = 1 4 π ε 0 4 q Q a + q 2 2 a + Q 2 2 a = 1 4 π ε 0 a 4 q Q + q 2 2 + Q 2 2

On which factors, does the capacitance of a parallel plate capacitor depend ? A parallel plate air capacitor is of 3 pF capacitance. When a plate of dielectric constant k and thickness 3 d 4 is placed between the plates of the capacitors the capacitance of the capacitor becomes 6 pF . Find the magnitude of k , where d is the distance between the plates of the capacitor.

The capacitance of a parallel plate capacitor depends on area of each plate, dielectric medium between the plates and distance between the plates. The capacitance of a parallel plate capacitor is given by the formula = C = ϵ ∘ A d Where, A is the area of each plate, d is the distance between the plates and, ϵ is the permittivity of the space between the plates C = ε ∘ A d = 3 μ = ε ∘ A d . . . . . . . . . . . . . . . . . . . . i C ' = ε ∘ A d - t + t k = 6 μ = ε ∘ A d - 3 d 4 + 3 d 4 k 6 μ = ε ∘ A dk + 3 d 4 k . . . . . . . . . . . . . . . ii Dividing i from ii We get. 1 2 = dk + 3 d 4 kd ∴ 4 kd = 2 dk + 6 d 2 kd = 6 d k = 3

EASY

12th Uttar Pradesh Board

IMPORTANT

Earn 100

On increasing the potential difference of a $8$ micro-farad capacitor from $20$ volt to $25$ volt, calculate the increase in its potential energy.

Important Questions on Electrostatic Potential and Capacitance

EASY

12th Uttar Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 2 - Electrostatic Potential and Capacitance>Uttar Pradesh Board-2018>Q 1

Define an equipotential surface.

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12th Uttar Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 2 - Electrostatic Potential and Capacitance>Uttar Pradesh Board-2018>Q 3

The plates of a parallel plate capacitor have an area

100 {cm}^{2}

each and are separated by

0.025 cm

. What will be the potential difference between the plates if

3.54 μC

charge is supplied to the capacitor? What will be the new potential difference if the plate separation is increased to

0.05 cm

EASY

12th Uttar Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 2 - Electrostatic Potential and Capacitance>Uttar Pradesh Board-2019>Q 4

A point charge of

3 μC

is placed at the origin of

X - Y

coordinate system. Find out the potential difference between the points

A (5 a, 0) and B (- 3 a, 4 a)

EASY

12th Uttar Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 2 - Electrostatic Potential and Capacitance>Uttar Pradesh Board-2019>Q 5

The area of each plate of a parallel plate capacitor is $A$ and separation between them is $d$ . As shown in the figure, slabs of dielectric constants $k_{1}$ and $k_{2}$ are placed in between the plates, Find out the capacitance of the capacitor.

Question Image

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12th Uttar Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 2 - Electrostatic Potential and Capacitance>Uttar Pradesh Board-2019>Q 6

Four point charges $Q, q, Q$ and $q$ are placed at the corners of a square of side $a$ as shown in the figure.

Question Image

Find

$(ii)$ electrical potential energy of the system.

EASY

12th Uttar Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 2 - Electrostatic Potential and Capacitance>Uttar Pradesh Board-2020>Q 7

On which factors, does the capacitance of a parallel plate capacitor depend ? A parallel plate air capacitor is of

3 pF

capacitance. When a plate of dielectric constant

k

and thickness

\frac{3 d}{4}

is placed between the plates of the capacitors the capacitance of the capacitor becomes

6 pF

. Find the magnitude of

k

, where

d

is

the distance between the plates of the capacitor.

MEDIUM

12th Uttar Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 2 - Electrostatic Potential and Capacitance>Uttar Pradesh Board-2020>Q 8

what is Coulomb's law of electric force ? Three point charges $+ q, - 4 q$ and $+ 2 q$ are placed at the vertices of an equilateral triangle of sides $1$ , as shown in the figure. Obtain the expression for the magnitude of the resultant electric force acting on the charge $+ q$ . Also find out the work done to separate the charges in order to move them up to infinity.

Question Image

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12th Uttar Pradesh Board

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 2 - Electrostatic Potential and Capacitance>Uttar Pradesh Board-2018>Q 2

On increasing the potential difference of a

8

micro-farad capacitor from

20

volt to

25

volt, calculate the increase in its potential energy.

On increasing the potential difference of a 8 micro-farad capacitor from 20 volt to 25 volt, calculate the increase in its potential energy.

Important Questions on Electrostatic Potential and Capacitance

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On increasing the potential difference of a $8$ micro-farad capacitor from $20$ volt to $25$ volt, calculate the increase in its potential energy.