Two concentric shells have radii R and 2 R , charges q A and q B potentials 2 V and 3 2 V respectively. Now shell B is earthed and let charges on them become q A ' and q B ' . Then,

Potential difference between A and B after earthing becomes V 2

Potential of A after earthing becomes 3 2 V

Two concentric shells have radii R and 2 R , charges q A and q B potentials 2 V and 3 2 V respectively. Now shell B is earthed and let charges on them become q A ' and q B ' . Then,

Potential difference between A and B after earthing becomes V 2

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Two concentric shells have radii $R$ and $2 R$ , charges $q_{A}$ and $q_{B}$ potentials $2 V$ and $\frac{3}{2} V$ respectively. Now shell $B$ is earthed and let charges on them become ${q_{A}}^{'}$ and ${q_{B}}^{'}$ . Then,

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Important Questions on Electrostatics

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

A spherical drop of mercury having a potential of

2.5 V

is obtained as a result of merging

125

droplets. The potential of constituent droplets would be

EASY

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

N

number of charges,

+ Q

each, are placed maintaining equal distance on the circumference of a circle of radius

R .

The net electrostatic potential at the centre of the circle is

HARD

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

A charge

+ q

is distributed over a thin ring of radius

r

with line charge density

λ = \frac{q \sin^{2} θ}{π r}

. Note that the ring is in the

X Y

-plane and

θ

is the angle made by

r

with the

X

-axis. The work done by the electric force in displacing a point charge

+ Q

from the centre of the ring to infinity is

EASY

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

A sphere has a constant electric potential

V

on its surface. If there are no charges inside the sphere, the potential at the centre of the sphere is

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

Consider two charged metallic spheres

S_{1}

and

S_{2}

of radii

R_{1}

and

R_{2},

respectively. The electric fields

E_{1}

(on

S_{1}

) and

E_{2}

(on

S_{2}

) on their surfaces are such that

\frac{E_{1}}{E_{2}} = \frac{R_{1}}{R_{2}} .

Then the ratio

V_{1}

(on

S_{1}

)

/

V_{2}

(on

S_{2}

) of the electrostatic potentials on each sphere is:

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

512

identical drops of mercury are charged to a potential of

2 V

each. The drops are joined to form a single drop. The potential of this drop is

V

in Volt.

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

Two concentric spherical conducting shells of radii

R

and

\cdot 2 R

carry charges

Q

and

2 Q

respectively. Change in electric potential on the outer shell when both are connected by a conducting wire is

(K = \frac{1}{4 π ε_{0}})

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

Charge on the outer sphere is

q

and the inner sphere is grounded. The charge on the inner sphere is

q^{'}

, for

(r_{2} > r_{1})

. Then

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

Concentric metallic hollow spheres of radii

R

and

4 R

hold charges

Q_{1}

and

Q_{2}

respectively. Given that surface charge density of the concentric spheres are equal, the potential difference

V (R) - V (4 R)

is:

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

A charge Q is distributed over two concentric conducting thin spherical shells radii $r$ and $R (R > r)$ . If the surface charge densities on the two shells are equal, the electric potential at the common centre is :

Question Image

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

Four point charge (with equal magnitude of charge of $5 C;$ but with different signs) are placed at four corners of a square of side $10 m .$ Assuming that the square is centered at the origin and the configuration of the charges are as given in the figure, the potential and the magnitude of electric field at the origin, respectively are

[Note $k = \frac{1}{4 π ε_{0}}]$

Question Image

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

A solid conducting sphere, having a charge

Q,

is surrounded by an uncharged conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be

V .

If the shell is now given a charge of

- 4 Q,

the new potential difference between the same two surfaces is:

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

What will be the potential at the centre of the sphere when a hollow metal sphere of radius

10 cm

is charged such that the potential on its surface is

80 volts ?

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

n

small metal drops of same size are charged to

V

volt each. If they coalesce to form a single large drop, then its potential will be

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

The two thin coaxial rings, each of radius

a

and having charges

+ Q

and

- Q

respectively are separated by a distance of

s

. The potential difference between the centres of the two rings is :

MEDIUM

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

N

identical spherical drops charged to the same potential

V

are combined to form a big drop. The potential of the new drop will be

EASY

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

Two spheres of unequal radii are supplied with equal quantity of charges. The potential will _______

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

The potential at the centre of a hollow, charged metal sphere of radius

5 cm

, so that the potential on its surface

10 V

, is

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

A uniformly charged ring of radius

3 a

and total charge

q

is placed in

x ‐ y

plane centred at origin. A point charge

q

is moving towards the ring along the

z -

axis and has speed

v

z = 4 a

. The minimum value of

v

such that it crosses the origin is:

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

A charge

Q

is distributed over three concentric spherical shells of radii

a, b, c (a < b < c)

such that their surface charge densities are equal to one another.

The total potential at a point at distance

r

from their common centre, where

r < a,

would be:

Two concentric shells have radii R and 2R, charges qA and qB potentials 2V and 32V respectively. Now shell B is earthed and let charges on them become qA' and qB'. Then,

Important Questions on Electrostatics

Learn and Prepare for any exam you want !

Two concentric shells have radii $R$ and $2 R$ , charges $q_{A}$ and $q_{B}$ potentials $2 V$ and $\frac{3}{2} V$ respectively. Now shell $B$ is earthed and let charges on them become ${q_{A}}^{'}$ and ${q_{B}}^{'}$ . Then,