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Q. No.In Maxwell’s famous modification of Ampère’s law in electromagnetism, he introduced the concept of:
| 1. | AC current | 2. | DC current |
| 3. | Displacement current | 4. | Reactance |
Subtopic: Maxwell's Equations |
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Which two fundamental phenomena were unified by Maxwell's electromagnetic theory?
1. Electricity and gravitation
2. Electricity and magnetism
3. Electromagnetism and weak nuclear forces
4. None of the above
Subtopic: Maxwell's Equations |
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Correctly match the two lists.
| List-I | List-II | ||
| (A) | Gauss's law (electrostatics) | (P) | \(\oint\vec {B}\cdot d\vec {A}=0\) |
| (B) | Ampere's circuital law | (Q) | \(\oint\vec {B}\cdot d\vec {l}=\mu_0i_{\text{enclosed}}\) |
| (C) | Gauss's law (magnetism) | (R) | \(\oint\vec E \cdot d \vec A=\dfrac{q_{_{\text{enclosed}}}}{\varepsilon_0}\) |
| (D) | Faraday's law of induction | (S) | \( \varepsilon=-\dfrac{d\phi_{_B}}{dt}\) |
| 1. | \(\mathrm{(A)\rightarrow (R)},\mathrm{(B)\rightarrow (Q)},\mathrm{(C)\rightarrow (S)}, \mathrm{(D)\rightarrow (P)}\) |
| 2. | \(\mathrm{(A)\rightarrow (R)},\mathrm{(B)\rightarrow (Q)},\mathrm{(C)\rightarrow (P)}, \mathrm{(D)\rightarrow (S)}\) |
| 3. | \(\mathrm{(A)\rightarrow (R)},\mathrm{(B)\rightarrow (S)},\mathrm{(C)\rightarrow (Q)}, \mathrm{(D)\rightarrow (P)}\) |
| 4. | \(\mathrm{(A)\rightarrow (R)},\mathrm{(B)\rightarrow (S)},\mathrm{(C)\rightarrow (P)}, \mathrm{(D)\rightarrow (Q)}\) |
Subtopic: Maxwell's Equations |
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Level 1: 80%+
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According to the modified Ampere's circuital law (Ampere-Maxwell Law), where \(i_c\) represents the conduction current and \(i_D\) represents the displacement current, the correct equation is:
| 1. | \({\oint \vec B. d\vec{l}=\mu_0\left(i_c+\varepsilon_0\dfrac{{d}\phi_E}{dt}\right)} \) |
| 2. | \( { \oint \vec B.d\vec{l}~=~\mu_0~\varepsilon_0\dfrac{{d}\phi_E}{ dt}} \) |
| 3. | \( { \oint \vec B.d\vec{l}=\mu_0{i}} \) |
| 4. | \( { \oint \vec B. d\vec{l}=\mu_0\left(i_c\dfrac{d\phi_E}{dt}{+i_D}\right)}\) |
Subtopic: Maxwell's Equations |
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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: Maxwell's Equations |
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Q. No.
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