Question

Question No. 16
Two conducting concentric shell of radii r and 2r are charged to potential 10 V and 8 V. Potential of both the shells when they are connected by conducting wire, is
20 V
8V
10V
25
뜰​

Answer 1

Given that,

Radius of small shell = r

Radius of big shell = 2r

Potential of small shell = 10 V

Potential of big shell = 8 V

We need to calculate the charge on big shell

Using formula of potential

$V_{1}=\dfrac{kq_{1}}{r^2}$

Put the value into the formula

$10=\dfrac{kq_{1}}{(2r)^2}$

$10=\dfrac{kq_{1}}{4r^2}$

$q_{1} =\dfrac{40r^2}{k}$

We need to calculate the charge on small shell

Using formula of potential

$V_{2}=\dfrac{kq_{2}}{r^2}$

Put the value into the formula

$8=\dfrac{kq_{2}}{(r)^2}$

$q_{2} =\dfrac{8r^2}{k}$

We need to calculate the total charge

Using formula of total charge

$Q=q_{1}-q_{2}$

Put the value into the formula

$Q=\dfrac{40r^2}{k}-\dfrac{8r^2}{k}$

$Q=\dfrac{32r^2}{k}$

When they are connected by conducting wire then,

We need to calculate the potential of both the shells

Using formula of potential

$V=\dfrac{kQ}{r^2}$

Put the value into the formula

$V=\dfrac{k\times\dfrac{32r^2}{k}}{4r^2}$

$V=8\ V$

Hence, The potential of both the shells is 8 V.

(b) is correct option.

Answer 2

Answer:

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Explanation:

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