A and B are two thin concentric hollow conducting spheres of radii a and 2 a having charge 2 Q Q respectively if potential of outer sphere is 5 V then potential at inner sphere will be :

Question

A and B are two thin concentric hollow conducting spheres of radii a and 2 a having charge 2 Q Q respectively if potential of outer sphere is 5 V then potential at inner sphere will be : (A) 20 V (B) 10 V (C) (25/3) V (D) (50/3) V

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/c6ba9c939f9bfd5e930213342f401c92-.png" /> 5=( kQ /2 a )+( k 2 Q /2 a ) =(3/2) ( kQ / a ) ( kQ / a )=(10/3) V in =( k 2 Q / a )+( kQ /2 a ) =(5/2) ( kQ / a )=(5/2) × (10/3) =(25/3) volt

Q. $A$ and $B$ are two thin concentric hollow conducting spheres of radii a and $2 a$ having charge $2 Q$ & $Q$ respectively if potential of outer sphere is $5 V$ then potential at inner sphere will be :

$20 V$

$10 V$

$\frac{25}{3} V$

$\frac{50}{3} V$

$5 = \frac{k Q}{2 a} + \frac{k 2 Q}{2 a}$
$= \frac{3}{2} \frac{k Q}{a}$
$\frac{k Q}{a} = \frac{10}{3}$
$V_{in} = \frac{k 2 Q}{a} + \frac{k Q}{2 a}$
$= \frac{5}{2} \frac{k Q}{a} = \frac{5}{2} \times \frac{10}{3}$
$= \frac{25}{3}$ volt

Q. A and B are two thin concentric hollow conducting spheres of radii a and 2a having charge 2Q & Q respectively if potential of outer sphere is 5V then potential at inner sphere will be :

20V

10V

325​V

350​V