A $40$ $\mu F$ capacitor in a defibrillator is charged to $3000\,V$. The energy stored in the capacitor is sent through the patient during a pulse of duration $2\,ms$. The power delivered to the patient is......$kW$
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Three concentric spherical shells have radii $a, b$ and $c (a < b < c)$ and have surface charge densities $\sigma ,-\;\sigma $ and $\;\sigma \;$ respectively. If $V_A,V_B$ and $V_C$ denote the potentials of the three shells, then, for $c = a +b,$ we have
In the circuit shown in figure, four capacitors are connected to a battery. A parallel plate capacitor has an electric field of $10^5\ V/m$ between the plates. If the charge on the capacitor plate is $1\ \mu C$, then the force on each capacitor plate is.....$Nt$
Switch $S$ of circuit shown in figure is in position $1$ for a long time. At instant $t = 0$ , it is thrown from position $1$ to $2$ . The thermal power $P_1(t)$ generated in resistance $R_1$
When two identical capacitors are charged individually to different potentials and connected parallel to each other, after disconnecting them from the source :
$64$ drops each having the capacity $C$ and potential $V$ are combined to form a big drop. If the charge on the small drop is $q$, then the charge on the big drop will be
Two parallel plate capacitors have their plate areas $100 \,cm ^2$ and $500 \,cm ^2$ respectively. If they have the same charge and potential and the distance between the plates of the first capacitor is $0.5 \,mm$, then the distance between the plates of the second capacitor is ........ $cm$
Two metallic plates form a parallel plate capacitor. The distance between the plates is $'d'.$ A metal sheet of thickness $\frac{d}{2}$ and of area equal to area of each plate is introduced between the plates. What will be the ratio of the new capacitance to the original capacitance of the capacitor $?$
Sixty-four drops are jointed together to form a bigger drop. If each small drop has a capacitance $C$, a potential $V$, and a charge $q$, then the capacitance of the bigger drop will be