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A coil has a resistance of \(30~ \text{ohm}\) and inductive reactance of \(20 ~\text{ohm}\) at a \(50~\text{Hz}\) frequency. If an \(AC\) source of \(200~\text{volts,}\) \(100~\text{Hz}\) is connected across the coil, the current in the coil will be:
1.
\(2.0~\text{A}\)
2.
\(4.0~\text{A}\)
3.
\(8.0~\text{A}\)
4.
\(20/\sqrt{13}~\text{A}\)
Subtopic: Different Types of AC Circuits |
63%
Level 2: 60%+
AIPMT - 2011
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The rms value of the potential difference \(V\) shown in the figure is:
| 1. | \(\dfrac{V_{0}}{\sqrt{3}}\) | 2. | \(V_{0}\) |
| 3. | \(\dfrac{V_{0}}{\sqrt{2}}\) | 4. | \(\dfrac{V_{0}}{2}\) |
Subtopic: RMS & Average Values |
74%
Level 2: 60%+
AIPMT - 2011
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The instantaneous values of alternating current and voltages in a circuit are given as,
\(i=\frac{1}{\sqrt{2}}\sin\left(100\pi t \right )~\text{Ampere}\)
\(e=\frac{1}{\sqrt{2}}\sin\left(100\pi t+\pi /3 \right)~\text{Volt}\)
What is the average power consumed by the circuit in watts?
\(i=\frac{1}{\sqrt{2}}\sin\left(100\pi t \right )~\text{Ampere}\)
\(e=\frac{1}{\sqrt{2}}\sin\left(100\pi t+\pi /3 \right)~\text{Volt}\)
What is the average power consumed by the circuit in watts?
| 1. | \( \frac{\sqrt{3}}{4} \) | 2. | \( \frac{1}{2} \) |
| 3. | \( \frac{1}{8} \) | 4. | \( \frac{1}{4}\) |
Subtopic: Power factor |
77%
Level 2: 60%+
AIPMT - 2012
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Turn ratio of a step-up transformer is \(1: 25\). If current in load coil is \(2~\text{A}\), then the current in primary coil will be:
| 1. | \(25~\text{A}\) | 2. | \(50~\text{A}\) |
| 3. | \(0.25~\text{A}\) | 4. | \(0.5~\text{A}\) |
Subtopic: Transformer |
90%
Level 1: 80%+
AIPMT - 1998
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A lamp is connected in series with a capacitor. AC and DC sources are connected to the circuit one by one, then mark the correct statement/s.
| 1. | When the DC source is connected to the capacitor, the lamp will not glow in a steady-state condition. |
| 2. | When the AC source is connected to the capacitor and the capacitance of the capacitor is reduced, the lamp will glow less brightly. |
| 3. | When the DC source is connected to the capacitor and the capacitance of the capacitor is reduced, the lamp will glow less brightly. |
| 4. | Both (1) and (2). |
Subtopic: Different Types of AC Circuits |
78%
Level 2: 60%+
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A series \(LCR\) circuit containing \(5.0~\text{H}\) inductor, \(80~\mu \text{F}\) capacitor and \(40~\Omega\) resistor is connected to \(230~\text{V}\) variable frequency AC source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be:
| 1. | \(46~\text{rad/s}~\text{and}~54~\text{rad/s}\) |
| 2. | \(42~\text{rad/s}~\text{and}~58~\text{rad/s}\) |
| 3. | \(25~\text{rad/s}~\text{and}~75~\text{rad/s}\) |
| 4. | \(50~\text{rad/s}~\text{and}~25~\text{rad/s}\) |
Subtopic: Different Types of AC Circuits |
50%
Level 3: 35%-60%
NEET - 2021
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When does the voltage in a series \(LCR\) circuit lead the current? (Given that \(\omega_0=\) resonant angular frequency)
1. \(\omega < \omega_0\)
2. \(\omega = \omega_0\)
3. \(\omega > \omega_0\)
4. None of these
1. \(\omega < \omega_0\)
2. \(\omega = \omega_0\)
3. \(\omega > \omega_0\)
4. None of these
Subtopic: Different Types of AC Circuits |
69%
Level 2: 60%+
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In a series \(LC\) circuit, if \(L = 10^{-3}~\text{H}\) and \(C = 3\times 10^{-7}~\text{F}\) is connected to a \(\left(100~\text{V},50~\text{Hz}\right)\) AC source, the impedance of the circuit is:
| 1. | \(\dfrac{10^{5}}{3\pi}-10\pi\) | 2. | \(0.1\pi-3\times 10^{-5}\pi\) |
| 3. | \(\dfrac{10^{5}}{3\pi}-\dfrac{\pi}{10}\) | 4. | None of these |
Subtopic: Different Types of AC Circuits |
71%
Level 2: 60%+
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In a series \(LCR\) circuit, the phase difference between voltage across \(L\) and voltage across \(C\) is equal to:
1. Zero
2. \(\pi\)
3. \(\dfrac{\pi}{2}\)
4. \(2\pi\)
1. Zero
2. \(\pi\)
3. \(\dfrac{\pi}{2}\)
4. \(2\pi\)
Subtopic: Different Types of AC Circuits |
75%
Level 2: 60%+
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In a series \(RLC\) circuit, potential differences across \(R,L\) and \(C\) are \(30\) V, \(60\) V and \(100\) V respectively, as shown in the figure. The emf of the source (in volts) will be:
1. \(190\)
2. \(70\)
3. \(50\)
4. \(40\)
Subtopic: Different Types of AC Circuits |
89%
Level 1: 80%+
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