Electrostatics Question 10
Question 10 - 2024 (29 Jan Shift 1)
Match List I with List II
| List I | List II | ||
|---|---|---|---|
| A. | $\oint \overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{dl}}=\mu_{0} \mathrm{i}{\mathrm{c}}+\mu{0} \varepsilon_{0} \frac{\mathrm{d} \phi_{\mathrm{E}}}{\mathrm{dt}}$ | I. | Gauss’ law for electricity |
| B. | hath $\oint \overrightarrow{\mathrm{E}} \cdot \mathrm{di}=\frac{\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{dt}}$ | II. | Gauss’ law for ong magnetism |
| C. | $\oint \overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{dA}}=\frac{\mathrm{Q}}{\varepsilon_{0}}$ | 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
$\rightarrow \oint \overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{dl}}=\mu_{0} \dot{\mathrm{i}}{\mathrm{c}}+\mu{0} \varepsilon_{0} \frac{\mathrm{d} \phi_{\mathrm{E}}}{\mathrm{dt}}$
Faraday law $\rightarrow \oint \overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{d}}=\frac{\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{dt}}$
Gauss’ law for electricity $\rightarrow \oint \overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{dA}}=\frac{\mathrm{Q}}{\varepsilon_{0}}$
Gauss ’ law for magnetism $\rightarrow \oint \vec{B} \cdot \overrightarrow{d A}=0$
