An inductor of inductance \(L\), a capacitor of capacitance \(C\) and a resistor of resistance \(R\) are connected in series to an AC source of potential difference \(V\) volts as shown in Figure. The potential difference across \(L\), \(C\) and \(R\) is \(40~\text{V}\), \(10~\text{V}\) and \(40~\text{V}\), respectively. The amplitude of the current flowing through the \(LCR\) series circuit is \(10\sqrt{2}~\text{A}\). The impedance of the circuit will be:
1. | \(4~\Omega\) | 2. | \(5~\Omega\) |
3. | \(4\sqrt{2}~\Omega\) | 4. | \(\dfrac{5}{\sqrt{2}}~\Omega\) |
1. | resonance in AC circuits |
2. | logic gate |
3. | x-rays |
4. | none of the above |
(a) | of the inductor increases. |
(b) | of the resistor increases. |
(c) | of the capacitor increases. |
(d) | of the circuit increases. |
1. | (a) only | 2. | (b), (c) |
3. | (c), (d) | 4. | (a), (d) |
1. | \(\dfrac{V_{0}}{\sqrt{3}}\) | 2. | \(V_{0}\) |
3. | \(\dfrac{V_{0}}{\sqrt{2}}\) | 4. | \(\dfrac{V_{0}}{2}\) |
A light bulb and an inductor coil are connected to an AC source through a key as shown in the figure below. The key is closed and after some time an iron rod is inserted into the interior of the inductor. The glow of the light bulb:
1. | decreases |
2. | remains unchanged |
3. | will fluctuate |
4. | increases |
1. | ![]() |
2. | ![]() |
3. | ![]() |
4. | ![]() |
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