A condenser having a capacity $2.0$ micro farad is charged to $200\;volts$ and then the plates of the capacitor are connected to a resistance wire. The heat produced in joules will be
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The electric potential $V$ is given as a function of distance $x$ (metre) by $V = (5{x^2} + 10x - 9)\,volt$. Value of electric field at $x = 1$ is......$V/m$
A charge $q$ is distributed uniformly on the surface of a sphere of radius $R$. It is covered by a concentric hollow conducting sphere of radius $2 R$. Charge on the outer suiface of the hollow sphere will be, if it is earthed
Two spherical conductors $A$ and $B$ of radii $a$ and $b$ $(b > a)$ are placed concentrically in air. The two are connected by a copper wire as shown in figure. Then the equivalent capacitance of the system is
Three identical metal plates with large surface areas are kept parallel to each other as shown in figure. The left most plates is given a charge $Q$ and the right most plate $C$ is given a charge $-2Q.$ The middle plate $B$ is neutral. Then the charge appearing on the outer surface $S$ of the plate $C$ 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.......$mJ$