To establish an instantaneous displacement current of $I$ ampere in the space between the plates of a parallel plate capacitor of $\frac{1}{2} \text{ F}$,the value of $\frac{dV}{dt}$ is .......

  • A
    $2I$
  • B
    $\frac{I}{2}$
  • C
    $\frac{1}{2I}$
  • D
    $I$

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Similar Questions

$A$ variable frequency $AC$ source is connected to a capacitor. How will the displacement current change with a decrease in frequency?

When a displacement current $i_d$ flows in the region between the two plates of a capacitor,the charge on the capacitor is:

Match List-$I$ with List-$II$.
List-$I$ (Relation)List-$II$ (Law)
$A$. $\oint \overrightarrow{E} \cdot d\vec{l} = -\frac{d}{dt} \oint \overrightarrow{B} \cdot d\vec{a}$$I$. Ampere's circuital law
$B$. $\oint \vec{B} \cdot d\vec{l} = \mu_0(I + \epsilon_0 \frac{d\phi_E}{dt})$$II$. Faraday's laws of electromagnetic induction
$C$. $\oint \overrightarrow{E} \cdot d\vec{a} = \frac{1}{\epsilon_0} \int \rho dv$$III$. Ampere-Maxwell law
$D$. $\oint \overrightarrow{B} \cdot d\vec{l} = \mu_0 I$$IV$. Gauss's law of electrostatics

Choose the correct answer from the options given below:

What is called displacement current?

Derive the expression for the displacement current term in the modified Ampere's circuital law. Define displacement current and state its $SI$ unit.

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