Q. No.
The power factor of the given circuit is:
1.
\(1 \over 2\)
2.
\(1 \over \sqrt2\)
3.
\(\sqrt3 \over 2\)
4.
\(0\)
In LC oscillation, what is the current in the circuit when the total energy is stored in the form of magnetic energy?
(q0 is the maximum charge stored by the capacitor)
| 1. | zero | 2. | \(\dfrac{1}{2}\) |
| 3. | \(\dfrac{1}{\sqrt{2}}\) | 4. | \(1\) |
| 1. | \(\dfrac{E_{0}^{2}}{R} \sin^{2}\omega t\) | 2. | \(\dfrac{E_{0}^{2}}{R}\cos^{2}\omega t\) |
| 3. | \(\dfrac{E_{0}^{2}}{R}\) | 4. | \(\text{zero}\) |
In a step-up transformer, the turn ratio is \(1:20\). The resistance of \(100~\Omega\) connected across the secondary is drawing a current of \(2~\text{A}\).
What are the primary voltage and current respectively?
1. \(100~\text{V}, 0.5~\text{A}\)
2. \(200~\text{V},10~\text{A}\)
3. \(10~\text{V}, 40~\text{A}\)
4. \(10~\text{V}, 20~\text{A}\)
Hence:
| 1. | The voltage leads the current by \(30^{\circ}\). |
| 2. | The current leads the voltage by \(30^{\circ}\). |
| 3. | The current leads the voltage by \(60^{\circ}\). |
| 4. | The voltage leads the current by \(60^{\circ}\). |
| 1. | \(10~\text{mA}\) | 2. | \(20~\text{mA}\) |
| 3. | \(40~\text{mA}\) | 4. | \(80~\text{mA}\) |
| 1. | \(V_r=V_L>V_C\) |
| 2. | \(V_R \neq V_L=V_C\) |
| 3. | \(V_R \neq V_L \neq V_C\) |
| 4. | \(V_R=V_C \neq V_L\) |
| 1. | \(20\) W | 2. | \(30\) W |
| 3. | \(10\) W | 4. | \(40\) W |
A capacitor of capacitance \(1~\mu\text{F}\) is charged to a potential of \(1\) V. It is connected in parallel to an inductor of inductance \(10^{-3}~\text{H}\).
What is the value of the maximum current that will flow in the circuit?
1. \(\sqrt{1000}~\text{mA}\)
2. \(1~\text{mA}\)
3. \(1~\mu\text{F}\)
4. \(1000~\text{mA}\)
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