A spherical conductor of radius 2,m is charge | vedclass

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

Question

(D) Let the charge on the smaller sphere be $Q$. The potential of the smaller sphere is given by $V_1 = \frac{kQ}{R_1}$,where $R_1 = 2\,m$ and $V_1 =

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(D) Let the charge on the smaller sphere be $Q$. The potential of the smaller sphere is given by $V_1 = \frac{kQ}{R_1}$,where $R_1 = 2\,m$ and $V_1 = 120\,V$.$120 = \frac{kQ}{2} \implies kQ = 240$.When the smaller sphere is placed inside the hollow larger sphere of radius $R_2 = 6\,m$,the potential of the larger sphere is determined by the charge $Q$ on the inner sphere,as the potential inside a hollow conductor is constant and equal to the potential at its surface.$V_2 = \frac{kQ}{R_2} = \frac{240}{6} = 40\,V$.Thus,the potential to which the bigger sphere is raised is $40\,V$.

$A$ spherical conductor of radius $2\,m$ is charged to a potential of $120\,V$. It is now placed inside another hollow spherical conductor of radius $6\,m$. Calculate the potential to which the bigger sphere would be raised.

Similar Questions

$1000$ small drops,each of radius $r$ and charge $q$,coalesce to form a single large drop. How many times greater is the potential of the large drop compared to the potential of a small drop?

In the circuit shown in the figure,$K_1$ is open. The charge on capacitor $C$ in steady state is $q_1$. Now,the key $K_1$ is closed and at steady state,the charge on $C$ is $q_2$. The ratio of charges $q_1/q_2$ is

$27$ similar drops of mercury are maintained at $10 \, V$ each. All these spherical drops combine into a single big drop. The potential energy of the bigger drop is ....... times that of a smaller drop.

Initially $n$ identical capacitors are joined in parallel and are charged to potential $V$. Now they are separated and joined in series. Then

In the given circuit,the charge $Q_2$ on the $2 \ \mu F$ capacitor changes as $C$ is varied from $1 \ \mu F$ to $3 \ \mu F$. $Q_2$ as a function of '$C$' is given properly by:

Vedclass Test Series

Exam Paper Generator

Online Exam Module