Write the meaning of the equation $i = i_c + i_d$.

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(N/A) The equation $i = i_c + i_d$ represents the total current in a circuit,which is the sum of the conduction current $(i_c)$ and the displacement current $(i_d)$.
$1$. Conduction current $(i_c)$: This is the current due to the actual flow of charges (electrons) through a conductor.
$2$. Displacement current $(i_d)$: This is the current that arises due to the time-varying electric field in a region,such as between the plates of a capacitor.
This equation was proposed by James Clerk Maxwell to generalize Ampere's Circuital Law,ensuring that the total current is continuous even in regions where there is no physical charge flow,such as across a capacitor gap.

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$A$. Gauss's Law in Electrostatics $I$. $\oint \vec{E} \cdot d \vec{l} = -\frac{d \phi_B}{d t}$
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Choose the correct answer from the options given below:

The displacement current of $4.425 \,\mu A$ is developed in the space between the plates of a parallel plate capacitor when the voltage is changing at a rate of $10^{6} \,V s^{-1}$. The area of each plate of the capacitor is $40 \,cm^{2}$. The distance between the plates of the capacitor is $x \times 10^{-3} \,m$. The value of $x$ is ................ (Permittivity of free space,$\varepsilon_{0} = 8.85 \times 10^{-12} \,C^{2} N^{-1} m^{-2}$)

$A$ time-varying potential difference is applied between the plates of a parallel plate capacitor of capacitance $2.5 \mu \text{F}$. The dielectric constant of the medium between the capacitor plates is $1$. It produces an instantaneous displacement current of $0.25 \text{ mA}$ in the intervening space between the capacitor plates. The magnitude of the rate of change of the potential difference will be . . . . . . $\text{V s}^{-1}$.

What is called displacement current?

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