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Standard XII

Physics

Charging by Induction

What is the e...

Question

What is the electric potential at a distance $^{'} x^{'}$ from the centre, inside a conducting sphere having a charge $Q$ and radius $R$ ?

\frac{1}{4 π ϵ_{0}} \frac{Q}{R}

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\frac{1}{4 π ϵ_{0}} \frac{Q}{x}

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\frac{1}{4 π ϵ_{0}} \frac{Q X}{R^{2}}

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Solution

The correct option is A $\frac{1}{4 π ϵ_{0}} \frac{Q}{R}$
This is a direct formula for JEE or medical students

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Similar questions

Q. A hollow conducting sphere of radius R has a charge (+Q) on its surface. What is the electric potential within the sphere at a distance

r = \frac{R}{3}

from its centre

Q. Charge Q is distributed uniformly over a non conducting sphere of radius

R

. Find the electric potential at distance

r

from the centre of the sphere (

r < R

). The electric field at a distance

r

from the centre of the sphere is given as

\frac{1}{4 π ϵ_{0}} \frac{Q}{R^{3}} r ˆ r

. Also find the potential at the centre of the sphere.

Q. The electric potential at a point

P

inside a uniformly charged conducting sphere of radius

R

and charge

Q

at a distance

r

from the centre is :

Q. Show that electric potential at a point P, at a distance 'r' from a fixed point charge Q, is given by

V = (\frac{1}{4 π ϵ_{0}}) \frac{Q}{r}

Q. A conducting sphere

A

of radius

a

, with charge

Q

, is placed concentrically inside a conducting shell

B

of radius

b

B

is earthed and

C

is the common center of

A

and

B

. Study the following statements.

I.

The potential at a distance

r

from

C

, where

a \leq r \leq b

, is

\frac{1}{4 π ϵ_{0}} (\frac{Q}{r})

II.

The potential difference between

A

and

B

\frac{Q}{4 π ϵ_{0}} (\frac{1}{a} - \frac{1}{b})

III.

The potential at a distance

r

from

C

, where

a \leq r \leq b

, is

\frac{Q}{4 π ϵ_{0}} (\frac{1}{r} - \frac{1}{b})

Which of the following statements are correct?

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What is the electric potential at a distance ′x′ from the centre, inside a conducting sphere having a charge Q and radius R?

The correct option is A 14πϵ0QRThis is a direct formula for JEE or medical students

What is the electric potential at a distance $^{'} x^{'}$ from the centre, inside a conducting sphere having a charge $Q$ and radius $R$ ?

The correct option is A $\frac{1}{4 π ϵ_{0}} \frac{Q}{R}$
This is a direct formula for JEE or medical students