An insulator plate is passed between the plates of a capacitor. The displacement current

  • A
    First flows from $A$ to $B$ and then from $B$ to $A$
  • B
    First flows from $B$ to $A$ and then from $A$ to $B$
  • C
    Always flows from $B$ to $A$
  • D
    Always flows from $A$ to $B$

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What was the primary difficulty in establishing the wave theory of light,and who explained it?

The capacitance of a capacitor is $2 \ pF$. If the electric field inside the capacitor changes at a rate of $10^{12} \ V \ s^{-1}$,the displacement current is ..... $A$.

Match List-$I$ with List-$II$ and choose the correct answer from the options given below:
| List-$I$ | List-$II$ |
| :--- | :--- |
| $A$. Gauss's law of magnetostatics | $I$. $\oint \vec{E} \cdot d\vec{a} = \frac{1}{\epsilon_0} \int \rho dV$ |
| $B$. Faraday's law of electromagnetic induction | $II$. $\oint \vec{B} \cdot d\vec{a} = 0$ |
| $C$. Ampere's law | $III$. $\oint \vec{E} \cdot d\vec{l} = -\frac{d}{dt} \int \vec{B} \cdot d\vec{a}$ |
| $D$. Gauss's law of electrostatics | $IV$. $\oint \vec{B} \cdot d\vec{l} = \mu_0 I$ |

An accelerated electron produces ...

The charge on a parallel plate capacitor varies as $q = q_0 \cos(2\pi \nu t).$ The plates are very large and close together (area $= A,$ separation $= d$). The displacement current through the capacitor is

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