What is the effect of displacement current?

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(N/A) The displacement current allows the laws of electric and magnetic fields to be represented more symmetrically.
Faraday's law of electromagnetic induction states that a time-varying magnetic field produces an electric field.
Maxwell's modification to Ampere's law (the Ampere-Maxwell law) states that a time-varying electric field (represented by displacement current) produces a magnetic field.
Thus,electric and magnetic fields changing with time produce each other.
This symmetry in the laws of electromagnetism leads to the prediction of the existence of electromagnetic waves,which propagate through space as self-sustaining oscillations of electric and magnetic fields.

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Write the Ampere-Maxwell law in the form of an equation.

The charge on a capacitor varies with time as $q = q_0 \sin(2\pi nt)$. What is the displacement current produced in the dielectric of the capacitor?

What suggestion was made to correct the discrepancies in Ampere's circuital law?

$A$ displacement current of $4.0 \text{ A}$ can be set up in the space between two parallel plates of a $6 \text{ }\mu\text{F}$ capacitor. The rate of change of potential difference across the plates of the capacitor is nearly $\alpha \times 10^6 \text{ V/s}$. The value of $\alpha$ is . . . . . . .

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 | $IV$. $\oint \vec{B} \cdot d\vec{l} = \mu_0 I$ |

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