Out of two copper spheres of the same size,x | vedclass

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

Question

(D) For a conducting sphere,the electric potential $V$ at the surface is given by $V = \frac{kQ}{R}$,where $k$ is Coulomb's constant,$Q$ is the charge

Vedclass · Accepted Answer

Charge on both the spheres is equal.

Vedclass · Answer

(D) For a conducting sphere,the electric potential $V$ at the surface is given by $V = \frac{kQ}{R}$,where $k$ is Coulomb's constant,$Q$ is the charge on the sphere,and $R$ is the radius of the sphere.Since both spheres are made of copper (a conductor) and have the same size,they have the same radius $R$.Given that both spheres are charged to the same potential $V$,we have $V_x = V_y = V$.Using the formula $V = \frac{kQ}{R}$,we get $V = \frac{kQ_x}{R}$ and $V = \frac{kQ_y}{R}$.Equating the two,we find $\frac{kQ_x}{R} = \frac{kQ_y}{R}$,which implies $Q_x = Q_y$.Therefore,the charge on both spheres is equal,regardless of whether the sphere is hollow or solid,because the charge on a conductor resides entirely on its outer surface.

Out of two copper spheres of the same size,$x$ is hollow while $y$ is solid. If they are charged at the same potential,what can be said about the charges on them?

Similar Questions

An electron (charge = $1.6 \times 10^{-19} \text{ C}$) is accelerated through a potential of $100,000 \text{ V}$. The energy acquired by the electron is:

Two particles with charges $+q$ and $-q$ are separated by a distance of $2d$. What is the electric potential at the midpoint of the line joining them?

Two point charges $-q$ and $+q$ are located at points $(0,0,-a)$ and $(0,0, a)$ respectively. The electric potential at a point $(0,0, z)$,where $z>a$ is

Eight equal charges $q$ are placed at each corner of a cube of side $a$. The work done in carrying a charge $-q$ from its centre to infinity is:

The radius of a soap bubble whose potential is $16\,V$ is doubled. The new potential of the bubble will be.....$V$

Vedclass Test Series

Exam Paper Generator

Online Exam Module