Match the following List-$I$ with List-$II$.
$A$. $\oint E \cdot dA$$(i)$ $0$
$B$. $\oint B \cdot dA$$(ii)$ $-\frac{d\phi_B}{dt}$
$C$. $\oint E \cdot dl$$(iii)$ $\frac{Q}{\varepsilon_0}$
$D$. $\oint B \cdot dl$$(iv)$ $\mu_0(i_c + i_d)$

  • A
    $A-(iii), B-(ii), C-(i), D-(iv)$
  • B
    $A-(iv), B-(i), C-(iii), D-(ii)$
  • C
    $A-(iii), B-(i), C-(ii), D-(iv)$
  • D
    $A-(iii), B-(i), C-(iv), D-(ii)$

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Similar Questions

$A$ parallel plate capacitor (Figure) made of circular plates each of radius $R=6.0\; cm$ has a capacitance $C=100\; pF$. The capacitor is connected to a $230\; V$ ac supply with a (angular) frequency of $300 \;rad \;s ^{-1}$.
$(a)$ What is the rms value of the conduction current?
$(b)$ Is the conduction current equal to the displacement current?
$(c)$ Determine the amplitude of $B$ at a point $3.0\; cm$ from the axis between the plates.

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

Consider a parallel plate capacitor which is maintained at a potential of $200 \, V$. The separation distance between the plates of the capacitor and the area of the plates are $1 \, mm$ and $20 \, cm^2$, respectively. Calculate the displacement current in $1 \, \mu s$. (in $ \, mA$)

What is the effect of displacement current?

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:

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