(A) The displacement current $I_d$ is given by the formula $I_d = \epsilon_0 \frac{d\Phi_E}{dt}$,where $\epsilon_0$ is the permittivity of free space

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(A) The displacement current $I_d$ is given by the formula $I_d = \epsilon_0 \frac{d\Phi_E}{dt}$,where $\epsilon_0$ is the permittivity of free space and $\frac{d\Phi_E}{dt}$ is the rate of change of electric flux.Given $\epsilon_0 = 8.854 \times 10^{-12} \text{ F/m}$ and $\frac{d\Phi_E}{dt} = 9 \pi \times 10^3 \text{ Vm s}^{-1}$.Substituting the values: $I_d = (8.854 \times 10^{-12}) \times (9 \times 3.14159 \times 10^3)$.$I_d \approx 8.854 \times 10^{-12} \times 28.27 \times 10^3 \approx 250.3 \times 10^{-9} \text{ A} = 0.25 \mu \text{A}$.

Class 12 Physics Electromagnetic waves Maxwell's equations , Concept of displacement current and Hertz experiment

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If the rate of change in electric flux between the plates of a capacitor is $9 \pi \times 10^3 \text{ Vm s}^{-1}$,then the displacement current inside the capacitor is (in $\mu \text{A}$)

TS EAMCET 2025 All TS EAMCET

A
$0.25$
B
$0.36$
C
$3.14$
D
$4$

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Electromagnetic waves

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Maxwell's equations , Concept of displacement current and Hertz experiment

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At a particular instant,the current in the circuit given below is $i$. The displacement current between the plates of the capacitor shown below is ..........

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Maxwell's equations are derived from the laws of .......

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Match List-$I$ with List-$II$:

List-$I$ List-$II$

$A$. Gauss's Law in Electrostatics $I$. $\oint \vec{E} \cdot d \vec{l} = -\frac{d \phi_B}{d t}$

$B$. Faraday's Law $II$. $\oint \vec{B} \cdot d \vec{A} = 0$

$C$. Gauss's Law in Magnetism $III$. $\oint \vec{B} \cdot d \vec{l} = \mu_0 i_C + \mu_0 \epsilon_0 \frac{d \phi_E}{d t}$

$D$. Ampere-Maxwell Law $IV$. $\oint \vec{E} \cdot d \vec{s} = \frac{q}{\epsilon_0}$

Choose the correct answer from the options given below:

List-$I$	List-$II$
$A$. Gauss's Law in Electrostatics	$I$. $\oint \vec{E} \cdot d \vec{l} = -\frac{d \phi_B}{d t}$
$B$. Faraday's Law	$II$. $\oint \vec{B} \cdot d \vec{A} = 0$
$C$. Gauss's Law in Magnetism	$III$. $\oint \vec{B} \cdot d \vec{l} = \mu_0 i_C + \mu_0 \epsilon_0 \frac{d \phi_E}{d t}$
$D$. Ampere-Maxwell Law	$IV$. $\oint \vec{E} \cdot d \vec{s} = \frac{q}{\epsilon_0}$

MediumJEE MAIN 2023

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If the rate of change in electric flux between the plates of a capacitor is $9 \pi \times 10^3 \text{ Vm s}^{-1}$,then the displacement current inside the capacitor is (in $\mu \text{A}$)

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