Two conducting hollow spheres of radii R and | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) When two conducting spheres are connected by a long wire,they reach the same electric potential.Let $V_1$ be the potential of the smaller sphere o

Vedclass · Accepted Answer

$q' = 2Q$

Vedclass · Answer

(A) When two conducting spheres are connected by a long wire,they reach the same electric potential.Let $V_1$ be the potential of the smaller sphere of radius $R$ and $V_2$ be the potential of the larger sphere of radius $3R$.The potential of the smaller sphere is $V_1 = \frac{kQ}{R}$.The potential of the larger sphere is due to its own charge $Q$ and the charge $q'$ at its centre: $V_2 = \frac{kQ}{3R} + \frac{kq'}{3R}$.Since they are connected,$V_1 = V_2$.$\frac{kQ}{R} = \frac{kQ}{3R} + \frac{kq'}{3R}$.Multiplying by $\frac{3R}{k}$,we get $3Q = Q + q'$.Therefore,$q' = 2Q$.

Two conducting hollow spheres of radii $R$ and $3R$ are found to have $Q$ charge on their outer surfaces when both are connected with a long wire. $A$ charge $q'$ is kept at the centre of the bigger sphere. Which of the following is true?

Similar Questions

Four equal charges $Q$ are placed at the four corners of a square of side $a$. The work done in moving a charge $-Q$ from its centre to infinity is

An arc of radius $r$ carries a charge. The linear charge density is $\lambda$ and the arc subtends an angle of $\frac{\pi}{3}$ at the centre. What is the electric potential at the centre?

An electric charge $10^{-8} \ C$ is placed at the point $(4 \ m, 7 \ m, 2 \ m)$. At the point $(1 \ m, 3 \ m, 2 \ m)$,the electric

$A$ conducting sphere of radius $R$ is given a charge $Q$. The electric potential and the electric field at the centre of the sphere respectively are

Twenty-seven drops of water of the same size are equally and similarly charged. They are then united to form a bigger drop. By what factor will the electrical potential change?

Vedclass Test Series

Exam Paper Generator

Online Exam Module