In the given circuit switch $S$ is closed at $t = 0$ . The current $I$ in the figure at time $t$ is
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An empty thick conducting shell of inner radius $a$ and outer radius $b$ is shown in figure.If it is observed that the inner face of the shell carries a uniform charge density $-\sigma$ and the surface carries a uniform charge density $ '\sigma '$
If the charge $q_A$ is slowly moved inside the shell, then choose the statement$(s)$
In the circuit shown in figure, four capacitors are connected to a battery. A capacitor is connected to a battery. The force of attraction between the plates when the separation between them is halved
The capacitance of a parallel plate capacitor is $C$ when the region between the plate has air. This region is now filled with a dielectric slab of dielectric constant $k$. The capacitor is connected to a cell of $emf$ $E$, and the slab is taken out
In the circuit, shown in fig. $‘K’$ is open. The charge on capacitor $C$ in steady state is $q_1$. Now key is closed and at steady state, the charge on $C$ is $q_2$. The ratio of charges $\left( {\frac{{{q_1}}}{{{q_2}}}} \right)$ is
The circuit shown in the figure consists of a charged capacitor of capacity $3\, \mu F$ and a charge of $30\, \mu C$. At time $t =0,$ when the key is closed, the value of current flowing through the $5\, M \Omega$ resistor is $'x'$ $\mu-A$. The value of $'x'$ to the nearest integer is .........
A parallel plate capacitor has two layers of dielectrics as shown in fig. This capacitor is connected across a battery, then the ratio of potential difference across the dielectric layers is
Electric field at a place is $\overrightarrow {E\,} = {E_0}\hat i\,V/m$ . A particle of charge $+q_0$ moves from point $A$ to $B$ along a circular path find work done in this motion by electric field
A small sphere of mass $m =\ 0.5\, kg$ carrying a positive charge $q = 110\ \mu C$ is connected with a light, flexible and inextensible string of length $r = 60 \ cm$ and whirled in a vertical circle. If a vertically upwards electric field of strength $E = 10^5 NC^{-1}$ exists in the space, The minimum velocity of sphere required at highest point so that it may just complete the circle........$m/s$ $(g = 10\, ms^{-2})$
The metal plate on the left in figure carries a charge $+q$. The metal plate on the right has a charge of $-2q$. What charge will flow through $S$ when it is closed, if central plate is initially neutral