A conducting sphere of radius a is enclosed by a conducting shell whose radius of inner surface is 2 a and that of outer surface is 3 a. Charge given to conducting shell and conducting sphere are Q and - Q respectively, then what will be potential at centre of conducting sphere :-

Question

A conducting sphere of radius a is enclosed by a conducting shell whose radius of inner surface is 2 a and that of outer surface is 3 a. Charge given to conducting shell and conducting sphere are Q and - Q respectively, then what will be potential at centre of conducting sphere :- (A) (- KQ /2 a ) (B) ( KQ /2 a ) (C) -(2 KQ /3 a ) (D) ( KQ /3 a )

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/chemistry/50e924c9beac491cbba1dc660b275044-.png" /> Charge on outer surface of shell =+ Q - Q = O So, V0=(K Q/2 a)-(K Q/a) V 0=(- KQ /2 a )

Q. A conducting sphere of radius a is enclosed by a conducting shell whose radius of inner surface is $2 a$ and that of outer surface is $3 a$ . Charge given to conducting shell and conducting sphere are $Q$ and $- Q$ respectively, then what will be potential at centre of conducting sphere :-

$\frac{- K Q}{2 a}$

$\frac{K Q}{2 a}$

$- \frac{2 K Q}{3 a}$

$\frac{K Q}{3 a}$

Charge on outer surface of shell $= + Q - Q = O$
So, $V_{0} = \frac{K Q}{2 a} - \frac{K Q}{a}$
$V_{0} = \frac{- K Q}{2 a}$

Q. A conducting sphere of radius a is enclosed by a conducting shell whose radius of inner surface is 2a and that of outer surface is 3a. Charge given to conducting shell and conducting sphere are Q and −Q respectively, then what will be potential at centre of conducting sphere :-

2a−KQ​

2aKQ​

−3a2KQ​

3aKQ​