- 1(current)
Q. No.Maxwell's equation describes the fundamental laws of:
| 1. | Electricity only |
| 2. | Magnetism only |
| 3. | Mechanics only |
| 4. | Both (1) and (2) |
Subtopic: Â Maxwell's Equations |
 94%
Level 1: 80%+
Hints
The Maxwell's equation;
\(\oint \vec{B} . \vec{dl} = \mu_{0} \left(i + \varepsilon_{0} . \frac{d \left(\phi\right)_{E}}{d t}\right)\) 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
\(\oint \vec{B} . \vec{dl} = \mu_{0} \left(i + \varepsilon_{0} . \frac{d \left(\phi\right)_{E}}{d t}\right)\) 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
Subtopic: Â Maxwell's Equations |
 87%
Level 1: 80%+
Hints
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 \(Y\)
Subtopic: Â Maxwell's Equations |
 54%
Level 3: 35%-60%
Hints
Links
Which of the following equations is NOT a correctly written integral form of Maxwell's equations in a vacuum?
Here, \(\rho\) is the volume charge density, \(\vec J\) is the current density, \(\vec E\) is the electric field, \(\vec B\) is the magnetic field, \(\vec H\) is the magnetic field intensity, \(\varepsilon_0\) is the permittivity of free space, \(S\) is a closed surface, and \(C\) is a closed loop.
1. \(\oint_S \vec{E}\cdot d\vec{S} = \dfrac{1}{\varepsilon_0}\int_V \rho\, dV\)
2. \(\oint_S \vec{B}\cdot d\vec{S}=0\)
3. \(\oint_C \vec{E}\cdot d\vec{l}=-\dfrac{d}{dt}\int_S \vec{B}\cdot d\vec{S}\)
4. \(\oint_S \vec{H}\cdot d\vec{S} = \int_C \left(\vec{J} + \dfrac{d}{dt}(\varepsilon_0 \vec{E})\right)\cdot d\vec{S}\)
Here, \(\rho\) is the volume charge density, \(\vec J\) is the current density, \(\vec E\) is the electric field, \(\vec B\) is the magnetic field, \(\vec H\) is the magnetic field intensity, \(\varepsilon_0\) is the permittivity of free space, \(S\) is a closed surface, and \(C\) is a closed loop.
1. \(\oint_S \vec{E}\cdot d\vec{S} = \dfrac{1}{\varepsilon_0}\int_V \rho\, dV\)
2. \(\oint_S \vec{B}\cdot d\vec{S}=0\)
3. \(\oint_C \vec{E}\cdot d\vec{l}=-\dfrac{d}{dt}\int_S \vec{B}\cdot d\vec{S}\)
4. \(\oint_S \vec{H}\cdot d\vec{S} = \int_C \left(\vec{J} + \dfrac{d}{dt}(\varepsilon_0 \vec{E})\right)\cdot d\vec{S}\)
Subtopic: Â Maxwell's Equations |
Level 3: 35%-60%
Hints
- 1(current)
Q. No.
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