In the given circuit switch $S$ is closed at $t = 0$ . The current $I$ in the figure at time $t$ is
A$i = \frac{{\varepsilon {e^{ - t/RC}}}}{{2R}}$
B$i = \frac{{3\varepsilon {e^{ - t/RC}}}}{{2R}}$
C$i = \frac{{\varepsilon {e^{ - 2t/3RC}}}}{{2R}}$
D$i = \frac{{\varepsilon {e^{ - t/RC}}}}{{R}}$
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A$i = \frac{{\varepsilon {e^{ - t/RC}}}}{{2R}}$
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Figure shows a solid conducting sphere of radius $1 m$, enclosed by a metallic shell of radius $3 \,m$ such that their centres coincide. If outer shell is given a charge of $6 \,\mu C$ and inner sphere is earthed, find magnitude charge on the surface of inner shell is ............. $\mu C$
Two parallel plate capacitors of capacity $C$ and $3\,C$ are connected in parallel combination and charged to a potential difference $18\,V$. The battery is then disconnected and the space between the plates of the capacitor of capacity $C$ is completely filled with a material of dielectric constant $9$. The final potential difference across the combination of capacitors will be $V$
The force between the plates of a parallel plate capacitor of capacitance $C$ and distance of separation of the plates $d$ with a potential difference $V$ between the plates, is
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