A point charge $q$ is placed in a cavity in a metal block. If a charge $Q$ is brought outside the metal, then the electric force experienced by $q$ is
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Two concentric hollow conducting spheres of radius $r$ and $R$ are shown. The charge on outer shell is $Q$. What charge should be given to inner sphere so that the potential at any point $P$ outside the outer sphere is zero?
In the $R-C$ circuit shown in the figure the total energy of $3.6 \times 10^{-3}\ J$ is dissipated in the $10$ $\Omega$ resistor when the switch $S$ is closed. The initial charge on the capacitor is.....$\mu C$
A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume in the figure. The electric field inside the emptied space is
A capacitor is connected to a $10\,V$ battery. The charge on the plates is $10\,\mu C$ when medium between plates is air. The charge on the plates become $100\,\mu C$ when space between plates is filled with oil. The dielectric constant of oil is
Charges are placed on the vertices of a square as shown Let $\vec E$ be the electric field and $V$ the potential at the centre. If the charges on $A$ and $B$ are interchanged with those on $D$ and $C$ respectively, then
When two identical capacitors are charged individually to different potentials and connected parallel to each other, after disconnecting them from the source :
Three charged capacitors, $C_1$ = $17\ μF$, $C_2$ = $34\ μF$, $C_3$ = $41\ μF$and two open switches, $S_1$ and $S_2$ are assembled into a network with initial voltages and polarities, as shown. Final status of the network is attained when the two switches, $S_1$ and $S_2$ are closed. In the figure, the final charge on capacitor $C_3$ in $mC$, is closet to:
Two points $P$ and $Q$ are maintained at the potentials of $10\ V$ and $- 4\ V$, respectively. The work done in moving $100$ electrons from $P$ to $Q$ is