A compass needle is placed in the gap of a parallel plate capacitor. The capacitor is connected to a battery through a resistance. The compass needle:

1. does not deflect.
2. deflects for a very short time and then comes back to the original position.
3. deflects and remains deflected as long as the battery is connected.
4. deflects and gradually comes to the original position in a time which is large compared to the time constant.

Subtopic:  Displacement Current |
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Displacement current goes through the gap between the plates of a capacitor when the charge of the capacitor:

(a) increases
(b) decreases
(c) does not change
(d) is zero
 
Choose the correct option:
1. (a), (b) 
2. (b), (c) 
3. only (c) 
4. (a), (d)
Subtopic:  Displacement Current |
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A capacitor of capacitance \(C\) is connected across an AC source of voltage \(V\), given by;
\(V=V_0 \sin \omega t\)
The displacement current between the plates of the capacitor would then be given by:
1. \( I_d=\frac{V_0}{\omega C} \sin \omega t \)
2. \( I_d=V_0 \omega C \sin \omega t \)
3. \( I_d=V_0 \omega C \cos \omega t \)
4. \( I_d=\frac{V_0}{\omega C} \cos \omega t\)

Subtopic:  Displacement Current |
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To produce an instantaneous displacement current of \(2~\text{mA}\) in the space between the parallel plates of a capacitor of capacitance \(4~\mu\text{F}\), the rate of change of applied variable potential difference \(\left(\frac{dV}{dt}\right)\) must be:
1. \( 800~ \text{V} / \text{s} \)
2. \( 500~ \text{V} / \text{s} \)
3. \( 200~ \text{V} / \text{s} \)
4. \( 400 ~\text{V} / \text{s}\)
Subtopic:  Displacement Current |
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Which of the following situation(s), can cause the radiation of an electromagnetic wave?
(A) a varying sinusoidal current flowing through a capacitor
(B) an electric dipole, whose size (and magnitude) is oscillating with time
(C) a steady current flowing through a toroid

Choose the correct options:  
1. only (A)
2. only (B)
3. only (A) & (B)
4. (A), (B), (C)
Subtopic:  Generation of EM Waves |
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Consider the following statements:
Statement I: Charged particles which undergo acceleration or deceleration radiate their energy away.
Statement II: Therefore, charged particles moving in circular paths in a uniform magnetic field should also radiate their energy.
 
1. Statement I is true, Statement II is true and Statement I implies Statement  II.
2. Statement I is true, Statement II is true and Statement I does not imply Statement II.
3. Statement I is true, Statement II is false.
4. Statement I is false, Statement  II is true.
Subtopic:  Generation of EM Waves |
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Out of the following options which one can be used to produce a propagating electromagnetic wave?

1. a stationary charge.
2. a chargeless particle.
3. an accelerating charge.
4. a charge moving at constant velocity.

Subtopic:  Generation of EM Waves |
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Assume a bulb of efficiency \(2.5\%\) as a point source. The peak values of the electric field and magnetic field produced by the radiation coming from a \(100~\text{W}\) bulb at a distance of \(3~\text{m}\) are respectively:

1. \( 2.5 ~\text{V/m}, ~2.2 \times 10^{-8} ~\text{T} \)
2. \( 3.6 ~\text{V/m}, ~ 3.6 ~\text{T} \)
3. \( 4.07~\text{V/m},~ 1.4 \times 10^{-8} ~\text{T}\)
4. \( 4.2 ~\text{V/m}, ~3.4 \times 10^{-6}~\text{T}\)
Subtopic:  Properties of EM Waves |
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The magnetic field in a plane electromagnetic wave is given by \({B}=\left(2 \times 10^{-7}\right)\sin \left(0.5 \times 10^3 {x}+1.5 \times 10^{11} {t}\right )~\text{T}\). The wavelength and frequency of the wave are respectively:
1. \( 2.16~\text{cm}, 24.1~\text{GHz} \) 2. \( 0.29~\text{cm}, 13.7~\text{GHz} \)
3. \( 3.23 ~\text{cm}, 20.0~\text{GHz} \) 4. \( 1.26~\text{cm}, 23.9~\text{GHz}\)
Subtopic:  Properties of EM Waves |
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The electric field of an electromagnetic wave is given by \(\overrightarrow E = E_0 \hat j \cos (\omega t - kx)+ E_0\hat i \sin (\omega t -kx)\).
The maximum value of the electric field in the wave is:
1. \(\dfrac {E_0} {\sqrt 2}\)
2. \(E_0\)
3. \(\sqrt 2 E_0\)
4. \(\sqrt 3 E_0\)
Subtopic:  Properties of EM Waves |
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