The Maxwell-modified form of Ampere's circuital law is .......

  • A
    $\oint \vec{B} \cdot d\vec{S} = 0$
  • B
    $\oint \vec{B} \cdot d\vec{S} = \mu_0 i$
  • C
    $\oint \vec{B} \cdot d\vec{l} = \mu_0 i + \mu_0 \epsilon_0 \frac{d\phi_E}{dt}$
  • D
    $\oint \vec{B} \cdot d\vec{l} = \mu_0 i + \frac{1}{\epsilon_0} \frac{dq}{dt}$

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Match the following Maxwell’s equations: (The symbols used here have their usual meanings)
List-$I$List-$II$
$(a)$ Gauss’ law for electrostatics$(i)$ $\oint \vec{E} \cdot d\vec{A} = \frac{Q}{\epsilon_0}$
$(b)$ Gauss’ law for magnetism(ii) $\oint \vec{B} \cdot d\vec{l} = \mu_0 [i_c + \epsilon_0 \frac{d\phi_E}{dt}]$
$(c)$ Faraday’s law(iii) $\oint \vec{B} \cdot d\vec{A} = 0$
$(d)$ Ampere-Maxwell’s law(iv) $\oint \vec{E} \cdot d\vec{l} = -\frac{d\phi_B}{dt}$

Write inferences from Maxwell's equations.

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