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Q. No.Maxwell's equation describes the fundamental laws of:
| 1. | Electricity only |
| 2. | Magnetism only |
| 3. | Mechanics only |
| 4. | Both (1) and (2) |
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\(\oint \vec{B} . \vec{dl} = \mu_{0} \left(i + \varepsilon_{0} . \frac{d \left(\phi\right)_{E}}{d t}\right)\) is a statement of:
1. Faraday's law of induction
2. Modified Ampere's law
3. Gauss's law of electricity
4. Gauss's law of magnetism
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The figure shows a parallel plate capacitor being charged by a battery. If \(X\) and \(Y\) are two closed curves then during charging, \(\oint \vec{B}.d\vec{l}\) is zero along the curve:
1. \(X\) only
2. \(Y\) only
3. Both \(X\) & \(Y\)
4. Neither \(X\) nor \(Y\)
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(\(\rho\) = volume charge density, \(J\) = current density, \(m\) = pole strength, \(V\) = volume, \(S\) is a closed surface, and \(C\) is closed loop)
| 1. | \(\oint_S \vec{E} \cdot \overrightarrow{d S}=\frac{1}{\varepsilon_0} \int_V \rho d V\) |
| 2. | \(\oint_S \vec{B} \cdot \overrightarrow{d S}=\frac{m}{\mu_0}\) |
| 3. | \(\oint_S \vec{E} \cdot \overrightarrow{d l}=-\frac{d}{d t} \int_S \vec{B} \cdot \overrightarrow{d S}\) |
| 4. | \(\oint_S \vec{H} \cdot \overrightarrow{d S}=\int_C\left(\vec{J}+\frac{d}{d t}\left(\varepsilon_0 \vec{E}\right)\right) \cdot \overrightarrow{d S}\) |
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Q. No.
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