- 1(current)
Q. No.A displacement current of \(4.425~\mu\text A\) is developed in the space between the plates of a parallel plate capacitor when voltage is changing at a rate of \(10^{6}~\text{V/s}.\) The area of each plate of the capacitor is \(40~\text{cm}^2.\) The distance between each plate of the capacitor is \(x \times 10^{-3}~\text m.\) The value of \(x\) is:
(the permittivity of free space, \(\epsilon_0=8.85\times10^{-12}~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\) )
1. \(2\)
2. \(4\)
3. \(6\)
4. \(8\)
(the permittivity of free space, \(\epsilon_0=8.85\times10^{-12}~\text{C}^2 \text{N}^{-1} \text{m}^{-2}\) )
1. \(2\)
2. \(4\)
3. \(6\)
4. \(8\)
Subtopic: Â Displacement Current |
 76%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
A parallel plate capacitor with capacitance \(C\) is connected to a battery of voltage \(V_0.\) A closed Gaussian surface is shown by the dotted boundary in the diagram. What is the electric flux through this surface?
| 1. | \(\dfrac{2CV_0}{\varepsilon_0}\) | 2. | \(\dfrac{CV_0}{\varepsilon_0}\) |
| 3. | \(\dfrac{CV_0}{2\varepsilon_0}\) | 4. | \(\dfrac{3CV_0}{2\varepsilon_0}\) |
Subtopic: Â Displacement Current |
 60%
Level 2: 60%+
Please attempt this question first.
Hints
Please attempt this question first.
An AC voltage \({V (t)}= 20\sin\omega t \) of frequency \(50~\text{Hz}\) is applied to a parallel plate capacitor. The plate separation is \(2~\text{mm},\) and the area of each plate is \(1~\text{m}^2.\) What is the amplitude of the displacement current in the capacitor? \(\left ( \varepsilon_0=8.85\times10^{-12}~\text{F/m} \right )\)
| 1. | \(83.37~\mu \text{A}\) | 2. | \(55.58~\mu \text{A}\) |
| 3. | \(21.14~\mu \text{A}\) | 4. | \(27.79~\mu \text{A}\) |
Subtopic: Â Displacement Current |
 58%
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.
An electromagnetic wave of frequency \(100~\text{MHz}\) propagates through a medium of conductivity, \(\sigma= 10~\text{mho/m}\). The ratio of maximum conducting current density to maximum displacement current density is:
\(\left[\text {Take}~ \dfrac{1}{4 \pi \varepsilon_0}=9 \times 10^9 ~\text{Nm}^2 / \text{C}^2\right] \)
1. \(1200\)
2. \(1400\)
3. \(1800\)
4. \(2000\)
\(\left[\text {Take}~ \dfrac{1}{4 \pi \varepsilon_0}=9 \times 10^9 ~\text{Nm}^2 / \text{C}^2\right] \)
1. \(1200\)
2. \(1400\)
3. \(1800\)
4. \(2000\)
Subtopic: Â Displacement Current |
Please attempt this question first.
Hints
A displacement current of \(4.0~\text A\) can be set up in the space between two parallel plates of \(6~\mu \text{F}\) capacitor. The rate of change of potential difference across the plates of the capacitor is nearly \(\alpha \times 10^6 ~\text{V/s}\). The value of \(\alpha\) is:
1. \(0.58\)
2. \(0.67\)
3. \(0.82\)
4. \(0.75\)
1. \(0.58\)
2. \(0.67\)
3. \(0.82\)
4. \(0.75\)
Subtopic: Â Displacement Current |
Please attempt this question first.
Hints
- 1(current)
Q. No.
© 2026 GoodEd Technologies Pvt. Ltd.