1. | non-zero everywhere with maximum at the imaginary cylindrical surface connecting peripheries of the plates |
2. | zero between the plates and non-zero outside |
3. | zero at all places |
4. | constant between the plates and zero outside the plates |
A parallel plate capacitor is charged by connecting it to a battery through a resistor. If \(i\) is the current in the circuit, then in the gap between the plates:
1. | A displacement current of magnitude equal to \(i\) flows in the same direction as \(i.\) |
2. | A displacement current of magnitude equal to \(i\) flows in the opposite direction to \(i.\) |
3. | A displacement current of magnitude greater than \(i\) flows but it can be in any direction. |
4. | There is no current. |
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. \( I_d=\dfrac{V_0}{\omega C} \sin \omega t \)
2. \( I_d=V_0 \omega C \sin \omega t \)
3. \( I_d=V_0 \omega C \cos \omega t \)
4. \( I_d=\dfrac{V_0}{\omega C} \cos \omega t\)
A parallel plate capacitor of capacitance \(20~\mu\text{F}\) is being charged by a voltage source whose potential is changing at the rate of \(3~\text{V/s}.\) The conduction current through the connecting wires, and the displacement current through the plates of the capacitor would be, respectively:
1. | zero, zero | 2. | zero, \(60~\mu\text{A}\) |
3. | \(60~\mu\text{A},\) \(60~\mu\text{A}\) | 4. | \(60~\mu\text{A},\) zero |
A \(100~\Omega\) resistance and a capacitor of \(100~\Omega\) reactance are connected in series across a \(220~\text{V}\) source. When the capacitor is \(50\%\) charged, the peak value of the displacement current is:
1. \(2.2~\text{A}\)
2. \(11~\text{A}\)
3. \(4.4~\text{A}\)
4. \(11\sqrt{2}~\text{A}\)