Question

Match List I with List II

List I	List II
A. \( \oint \vec{B} \cdot d\vec{l} = \mu_0 i_c + \mu_0 \epsilon_0 \frac{d\phi_E}{dt} \)	I. Gauss' law for electricity
B. \( \oint \vec{E} \cdot d\vec{l} = -\frac{d\phi_B}{dt} \)	II. Gauss' law for magnetism
C. \( \oint \vec{E} \cdot d\vec{A} = \frac{Q}{\epsilon_0} \)	III. Faraday law
D. \( \oint \vec{B} \cdot d\vec{A} = 0 \)	IV. Ampere – Maxwell law

Choose the correct answer from the options given below

• A. A-IV, B-I, C-III, D-II
• B. A-II, B-III, C-I, D-IV
• C. A-IV, B-III, C-I, D-II
• D. A-I, B-II, C-III, D-IV

Answer 1

The Correct Option is C

Ampere–Maxwell Law: - \( \oint \vec{B} \cdot d\vec{l} = \mu_0 i_c + \mu_0 \epsilon_0 \frac{d \Phi_E}{dt} \). - This matches with A-IV.

Faraday’s Law of Electromagnetic Induction: - \( \oint \vec{E} \cdot d\vec{l} = -\frac{d \Phi_B}{dt} \). - This matches with B-III.

Gauss’ Law for Electricity: - \( \oint \vec{E} \cdot d\vec{A} = \frac{Q}{\epsilon_0} \). - This matches with C-I.

Gauss’ Law for Magnetism: - \( \oint \vec{B} \cdot d\vec{A} = 0 \). - This matches with D-II.

So, the correct option is : (3) A-IV, B-III, C-I, D-II