The capacity of a parallel plate capacitor with no dielectric substance but with a separation of $0.4 \,cm$ is $2\,\mu \,F$. The separation is reduced to half and it is filled with a dielectric substance of value $2.8$. The final capacity of the capacitor is.......$\mu \,F$
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In the $R-C$ circuit shown in the figure the total energy of $3.6 \times 10^{-3}\ J$ is dissipated in the $10$ $\Omega$ resistor when the switch $S$ is closed. The initial charge on the capacitor is.....$\mu C$
A $4\ \mu F$ capacitor, a resistance of $2.5 \,MW$$\Omega$ is in series with $12\, V$ battery. Find the time after which the potential difference across the capacitor is $3$ times the potential difference across the resistor.......$s$ [Given $ln(2)= 0.693$]
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 outer surface of the shell is earthed, then identify the correct statement(s)
Four capacitors of capacitance $10\,mF$ and a battery of $200\,V$ are arranged as shown. How much charge will flow through $AB$ after the switch $S$ is closed .....$\mu C$
In a medium of dielectric constant $K$, the electric field is $\vec E$ . If ${ \varepsilon _0}$ is permittivity of the free space, the electric displacement vector is
An electric charge $10^{-3}$ $\mu C$ is placed at the origin $(0, 0) $ of $X - Y$ co-ordinate system. Two points $A$ and $B$ are situated at $\left( {\sqrt 2 ,\sqrt 2 } \right)$ and $(2,0)$ respectively. The potential difference between the points $A$ and $B$ will be.......$V$
In an adjoining figure are shown three capacitors ${C_1}$,${C_2}$ and ${C_3}$ joined to a battery. The correct condition will be (Symbols have their usual meanings)