A conducting sphere A having a radius a is charged to a potential V1 . Now it is surrounded by another conducting spherical shell of the radius b . The potential V2 acquired by the sphere A after it is connected to shell B by a thin conducting wire is -

Question

A conducting sphere A having a radius a is charged to a potential V1 . Now it is surrounded by another conducting spherical shell of the radius b . The potential V2 acquired by the sphere A after it is connected to shell B by a thin conducting wire is - (A) V1(a/b) (B) V1(b/a) (C) (V1 (. a + b .)/b) (D) (V1 a/a + b)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-eantg6iuwrwl.png" /> V1 = (K q/a) V2 = (K q â²/b) = (K q/b) = (K V1 a/K b) = (V1 a/b)

Q. A conducting sphere $A$ having a radius a is charged to a potential $V_{1}$ . Now it is surrounded by another conducting spherical shell of the radius $b$ . The potential $V_{2}$ acquired by the sphere $A$ after it is connected to shell $B$ by a thin conducting wire is -

$V_{1} \frac{a}{b}$

$V_{1} \frac{b}{a}$

$\frac{V _{1} ( a + b )}{b}$

$\frac{V _{1} a}{a + b}$

$V_{1} = \frac{K q}{a}$
$V_{2} = \frac{K q '}{b} = \frac{K q}{b}$
$= \frac{K V _{1} a}{K b} = \frac{V _{1} a}{b}$

Q. A conducting sphere A having a radius a is charged to a potential V1​ . Now it is surrounded by another conducting spherical shell of the radius b . The potential V2​ acquired by the sphere A after it is connected to shell B by a thin conducting wire is -

V1​ba​

V1​ab​

bV1​(a+b)​

a+bV1​a​