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Two circuits $(a)$ and $(b)$ have charged capacitors of capacitance $C, 2C$ and $3C$ with open switches. Charges on each of the capacitor are as shown in the figures. On closing the switches
Capacitance of an isolated conducting sphere of radius $R_{1}$ becomes $n$ times when it is enclosed by a concentric conducting sphere of radius $R_{2}$ connected to earth. The ratio of their radii $\left(\frac{ R _{2}}{ R _{1}}\right)$ is:
Dipole having dipole moment $4\,C-m$ is placed on origin along $x-$ axis. Point charge of $8\,\mu C$ is fixed at $(4, 0, 0)$ . Now dipole is rotated by an angle of $\frac{\pi }{2}$ . Find the work done (in $mJ$ ) in rotating the dipole.......$mJ$
Two identical thin rings each of radius $R$ meters are coaxially placed at a distance $R$ meters apart. If $Q_1$ coulomb and $Q_2$ coulomb are respectively the charges uniformly spread on the two rings, the work done in moving a charge $q$ from the centre of one ring to that of other is
A resistance $R$ and a capacitance $C$ are connected in series to a battery of negligible internal resistance through a key. The key is closed at $t = 0$. If after $t\, sec$ the voltage across the capacitance was seven times the voltage across $R$, the value of $t$ is
The capacitance of a parallel plate capacitor is $12\,\mu \,F$. If the distance between the plates is doubled and area is halved, then new capacitance will be.........$\mu \,F$