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Q. No.Maxwell's modified form of Ampere's Circuital law is:
1. \(\oint{\vec{{B}}}.d\vec{s} ={0}\)
2. \(\oint{\vec{{B}}}.d\vec{l} ={\mathit{\mu}}_{0}{I}\)
3. \(\oint{\vec{B}}.d\vec{l}={{\mu}}_{0}{I}+\dfrac{1}{{\varepsilon }_{0}}\dfrac{dq}{dt}\)
4. \(\oint{\vec{B}}.d\vec{l} ={{\mu}}_{0}{I}+{{\mu}}_{0}{\varepsilon}_{0}\dfrac{d{{\phi}}_{E}}{dt}\)
1. \(\oint{\vec{{B}}}.d\vec{s} ={0}\)
2. \(\oint{\vec{{B}}}.d\vec{l} ={\mathit{\mu}}_{0}{I}\)
3. \(\oint{\vec{B}}.d\vec{l}={{\mu}}_{0}{I}+\dfrac{1}{{\varepsilon }_{0}}\dfrac{dq}{dt}\)
4. \(\oint{\vec{B}}.d\vec{l} ={{\mu}}_{0}{I}+{{\mu}}_{0}{\varepsilon}_{0}\dfrac{d{{\phi}}_{E}}{dt}\)
Subtopic: Â Maxwell's Equations |
 77%
Level 2: 60%+
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Maxwell's equation \(\oint\vec E\cdot d\vec l=\dfrac{-d\phi_B}{dt}\) is a statement of:
1. Ampere's law
2. Faraday's law of induction
3. Gauss' law of electricity
4. Gauss' law of magnetism
Subtopic: Â Maxwell's Equations |
 61%
Level 2: 60%+
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Match List-I with List-II (the symbols carry their usual meaning).
Choose the correct answer from the options given below:
| List-I | List-II | ||
| \(\mathrm{(A)}\) | \( \oint \vec{E} \cdot d \vec{A}=\dfrac{Q}{\varepsilon_0}\) | \(\mathrm{(I)}\) | Ampere-Maxwell's law |
| \(\mathrm{(B)}\) | \( \oint \vec{B} \cdot d \vec{A}=0 \) | \(\mathrm{(II)}\) | Faraday's law |
| \(\mathrm{(C)}\) | \( \oint \vec{E} \cdot d\vec{ l}=\dfrac{-d(\phi)}{d t} \) | \(\mathrm{(III)}\) | Gauss's law of electrostatics |
| \(\mathrm{(D)}\) | \( \oint \vec{B} \cdot d\vec{l}=\mu_0 i_c+ \mu_0 \varepsilon_0 \dfrac{d\left(\phi_E\right)}{d t}\) | \(\mathrm{(IV)}\) | Gauss's law of magnetism |
Choose the correct answer from the options given below:
| 1. | \(\mathrm{A-III, B-IV, C-II, D-I} \) | 2. | \(\mathrm{A-IV, B-III, C-II, D-I} \) |
| 3. | \(\mathrm{A-III, B-II, C-IV, D-I} \) | 4. | \(\mathrm{A-IV, B-I, C-III, D-II} \) |
Subtopic: Â Maxwell's Equations |
 83%
Level 1: 80%+
NEET - 2024
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