The charge on the plates of the capacitor in a steady-state will be:
1. \(3~\mu\text{C}\)
2. \(9~\mu\text{C}\)
3. \(27~\mu\text{C}\)
4. \(36~\mu\text{C}\)
Two identical parallel plate capacitors are placed in series and connected to a constant voltage source of \(V_0\) volt. If one of the capacitors is completely immersed in a liquid with dielectric constant \(K\), the potential difference between the plates of the other capacitor will change to:
1. \(\frac{K + 1}{K} V_{0}\)
2. \(\frac{K}{K + 1} V_{0}\)
3. \(\frac{K + 1}{2 K} V_{0}\)
4. \(\frac{2 K}{K + 1} V_{0}\)
The equivalent capacitance across \(A\) and \(B\) in the given figure is:
| 1. | \( \dfrac{3}{2}C\) | 2. | \({C}\) |
| 3. | \( \dfrac{2}{3}{C}\) | 4. | \( \dfrac{5}{3}C\) |
| 1. | dependent on the material property of the sphere |
| 2. | more on the bigger sphere |
| 3. | more on the smaller sphere |
| 4. | equal on both the spheres |
1. \(1.5\times 10^{-6}~\text{J}\)
2. \(4.5\times 10^{-6}~\text{J}\)
3. \(3.25\times 10^{-6}~\text{J}\)
4. \(2.25\times 10^{-6}~\text{J}\)
| 1. | \(2C\) | 2. | \(\dfrac{C}{2}\) |
| 3. | \(4C\) | 4. | \(\dfrac{C}{4}\) |
1. \(10 ~\mu \text{F}, ~6~\mu \text{F} \)
2. \(8 ~\mu \text{F}, ~8~\mu \text{F} \)
3. \(12~\mu \text{F},~ 4~\mu \text{F} \)
4. \(1.2~\mu \text{F},~1.8~\mu \text{F} \)
| 1. | zero | 2. | \(\dfrac{-q^2}{4\pi\varepsilon_0d}\) |
| 3. | \(\dfrac{-q^2}{4\pi\varepsilon_0d}\Big(3-\dfrac{1}{\sqrt2}\Big)\) | 4. | \(\dfrac{-q^2}{4\pi\varepsilon_0d}\Big(6-\dfrac{1}{\sqrt2}\Big)\) |
The minimum number of capacitors each of \(8\) \(\mu\)F and \(250\) V used to make a composite capacitor of \(16\) \(\mu\)F and \(1000\) V are:
1. \(8\)
2. \(32\)
3. \(16\)
4. \(24\)
A \(12~\text{pF}\) capacitor is connected to a \(50~\text V\) battery. How much electrostatic energy is stored in the capacitor?
1. \(3.1\times10^{-8}~\text J\)
2. \(2.9\times10^{-8}~\text J\)
3. \(3.3\times10^{-8}~\text J\)
4. \(1.5\times10^{-8}~\text J\)
© 2026 GoodEd Technologies Pvt. Ltd.