The energy and capacity of a charged parallel plate capacitor are $U$ and $C$ respectively. Now a dielectric slab of $\in _r = 6$ is inserted in it then energy and capacity becomes (Assume charge on plates remains constant)
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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.......$mJ$
A capacitor $C_1$ is charged up to a voltage $V\, = 60\,V$ by connecting it to battery $B$ through switch $( 1)$, Now $C_1$ is disconnected from battery and connected to a circuit consisting of two uncharged capacitors $C_2\, = 3.0\,\mu F$ and $C_3\,= 6.0\,\mu F$ through a switch $(2)$ as shown in the figure. The sum of final charges on $C_2$ and $C_3$ is......$\mu C$
Two capacitors connected in parallel having the capacities ${C_1}$ and ${C_2}$ are given $'q'$ charge, which is distributed among them. The ratio of the charge on ${C_1}$ and ${C_2}$ will be
A $10\, \mu F$ capacitor is fully charged to a potential difference of $50\, V$. After removing the source voltage it is connected to an uncharged capacitor in parallel. Now the potential difference across them becomes $20\, V$. The capacitance of the second capacitor is......$\mu F$
A particle of mass $100\, gm$ and charge $2\, \mu C$ is released from a distance of $50\, cm$ from a fixed charge of $5\, \mu C$. Find the speed of the particle when its distance from the fixed charge becomes $3\, m$. Neglect any other force........$m/s$
Three capacitors ${C}_{1}=2\, \mu {F}, {C}_{2}=6 \, \mu {F}$ and ${C}_{3}=12 \, \mu {F}$ are connected as shown in figure. Find the ratio of the charges on capacitors ${C}_{1}, {C}_{2}$ and ${C}_{3}$ respectively:
A $10\,\mu F$ capacitor is charged to a potential difference of $50\;V$ and is connected to another uncharged capacitor in parallel. Now the common potential difference becomes $20\;volt$. The capacitance of second capacitor is....$\mu F$