Electrostatics Question 10

Question 10 - 2024 (29 Jan Shift 1)

Match List I with List II

List I List II
A. $\oint \overrightarrow{B} \cdot \overrightarrow{dl}=\mu _0 i _c+\mu _0 \varepsilon _0 \frac{d \phi _E}{dt}$ I. Gauss’
law for
electricity
B. hath $\oint \overrightarrow{E} \cdot di=\frac{d \phi _B}{dt}$ II. Gauss’
law for ong
magnetism
C. $\oint \overrightarrow{E} \cdot \overrightarrow{dA}=\frac{Q}{\varepsilon _0}$ III. Faraday
law
D. nath $\oint \vec{B} \cdot \overrightarrow{d A}=0$ IV. Ampere -
Maxwell
law

Chose the correct answer from the options given below

(1) A-IV, B-I, C-III, D-II

(2) A-II, B-III, C-I, D-IV

(3) A-IV, B-III, C-I, D-II

(4) A-I, B-II, C-III, D-IV

Show Answer

Answer: (3)

Ampere-Maxwell law

$\rightarrow \oint \overrightarrow{B} \cdot \overrightarrow{dl}=\mu _0 \dot{i} _c+\mu _0 \varepsilon _0 \frac{d \phi _E}{dt}$

Faraday law $\rightarrow \oint \overrightarrow{E} \cdot \overrightarrow{d}=\frac{d \phi _B}{dt}$

Gauss’ law for electricity $\rightarrow \oint \overrightarrow{E} \cdot \overrightarrow{dA}=\frac{Q}{\varepsilon _0}$

Gauss ’ law for magnetism $\rightarrow \oint \vec{B} \cdot \overrightarrow{d A}=0$