Electric Potential on the surface of a charged spherical shell of radius shell of radius 10 cm is 50 volt. Find the value of electric potential at a distance of 20 cm from the centre of spherical shell.

Potential at surface= 50 V V = K . Q R 50 = K . Q 0 . 1 K . Q = 5 Where, V= electric potential Q= charge k=constant Potential at 200 m from centre V = K . Q R V = 5 0 . 2 V = 25 v o l t s

Write the name of physical quantity whose unit is J C . State whether this quantity is a vector or scalar?

The physical quantity whose S.I. units is J/C is electric potential. It is a scalar quantity .Electric potential is the scalar quantity because it is defined as the amount of work done to bring a unit positive charge to bring from infinity to the point under the influence of the primary charge.

Three charges of 1 nC , 2 nC and 3 nC are placed at the corners of an equilateral triangle of side 3 . Calculate electrostatic potential at a point equidistant from the three corners of the triangle.

l 1 = l 2 sec 30 ° = l 3 ⇒ V 0 = kq 1 l 1 + kq 2 l 1 + kq 3 l 1 = k l 1 ( q 1 + q 2 + q 3 ) = 3 k l q 1 + q 2 + q 3

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An infinite thin non-conducting sheet has uniform surface charge density $σ$ . Find the potential difference $V_{A} - V_{B}$ between points $A$ and $B$ as shown in the figure. The line $AB$ makes an angle of $37 °$ with the normal to the sheet. $(\sin 37 ° = \frac{3}{5})$

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Important Questions on Electrostatics

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The electric potential at the point O lying at a distance L from the end A is :

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EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

A mass of

1 kg

carrying a charge of

2 C

is accelerated through a potential of

1 V

. The velocity acquired by it is:

MEDIUM

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

Twenty seven drops of same size are charged at

220 V

each. They combine to form a bigger drop. Calculate the potential of the bigger drop.

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

Explain the following:Potential Difference

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Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

Two tiny spheres carrying charges

1.8 μ C

and

2.8 μ C

are located at

40 c m

apart. The potential at the mid-point of the line joining the two charges is

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

Compare emf and potential difference.

HARD

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

A total charge $Q$ is uniformly distributed over a long rod $AB$ of length $L$ as shown in the figure below. The electric potential at the point $O$ lying at a distance $\frac{L}{2}$ from the end $A$ is

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EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

The process of sharing charge with the earth is called _____.

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Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

Ten charges are placed on the circumference of a circle of radius

R

with constant angular separation between successive charges. Alternate charges

1, 3, 5, 7, 9

have charge

(+ q)

each, while

2, 4, 6, 8, 10

have charge

(- q)

each. The potential V and the electric field E at the centre of the circle are respectively : (Take

V = 0

at infinity)

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

The variation of electrostatic potential with radial distance

r

from the centre of a positively charged metallic thin shell of radius

R

is given by the graph

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

Electric Potential on the surface of a charged spherical shell of radius shell of radius

10 cm

50

volt. Find the value of electric potential at a distance of

20 cm

from the centre of spherical shell.

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

An electron with an initial speed of

4 .0 \times 10^{6} m s^{- 1}

is brought to rest by an electric field. The mass and charge of an electron are

9 \times 10^{- 31} kg

and

1.6 \times 10^{- 19} C

, respectively. Identify the correct statement.

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

Write the name of physical quantity whose unit is

\frac{J}{C}

. State whether this quantity is a vector or scalar?

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Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

Four capacitors with capacitances $C_{1} = 1 μF, C_{2} = 1.5 μF$ , $C_{3} = 2.5 μF$ and $C_{4} = 0.5 μF$ are connected as shown and are connected to a $30$ volt source. The potential difference between points $a$ and $b$ is:

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EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

On each corner of a square of side

\sqrt{2} m

charges of

100 μC

is kept. Find the resultant electric potential at the centre of square.

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

A Leclanche cell is balanced on length

280 cm

of the potentiometer wire. When a Daniel cell is joined in series with this cell, the balance point is obtained at

480 cm

distance. Calculate the

e . m . f . s

of the two cells.

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

Three charges of

1 nC, 2 nC and 3 nC

are placed at the corners of an equilateral triangle of side

\sqrt{3}

. Calculate electrostatic potential at a point equidistant from the three corners of the triangle.

EASY

Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

A hot filament liberates an electron with zero initial velocity. The anode potential is

1200 V

. The speed of the electron when it strikes the anode is

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Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

A certain p-n junction having a depletion region of width

20 μm,

was found to have a breakdown voltage of

100 V

. If the width of the depletion region is reduced to

1 μm

during its production, then it can be used as a zener diode for voltage regulation of:

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Physics>Electricity and Magnetism>Electrostatics>Electrostatic Potential and Electrostatic Potential Energy

Consider a cube of uniform charge density,

ρ

. The ratio of the electrostatic potential at the center of the cube to that at one of the corners of the cube is,

An infinite thin non-conducting sheet has uniform surface charge density σ. Find the potential difference VA-VB between points A and B as shown in the figure. The line AB makes an angle of 37° with the normal to the sheet. sin⁡37°=35

Important Questions on Electrostatics

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An infinite thin non-conducting sheet has uniform surface charge density $σ$ . Find the potential difference $V_{A} - V_{B}$ between points $A$ and $B$ as shown in the figure. The line $AB$ makes an angle of $37 °$ with the normal to the sheet. $(\sin 37 ° = \frac{3}{5})$