Q. No.In an AC circuit, an alternating voltage \(\varepsilon=200 \sqrt{2} \sin (100 t)~\text{V}\) is connected to a capacitor of capacity \(1~\mu \text{F}.\) The RMS value of the current in the circuit is:
| 1. | \(100~\text{mA}\) | 2. | \(200~\text{mA}\) |
| 3. | \(20~\text{mA}\) | 4. | \(10~\text{mA}\) |
Subtopic: Â RMS & Average Values |Â Different Types of AC Circuits |
 78%
Level 2: 60%+
AIPMT - 2011
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A \(15.0~{\mu \text F}\) capacitor is connected to a \(220~\text {V},\) \(50~\text {Hz}\) source. If the frequency is doubled, what happens to the capacitive reactance and the current?
| 1. | The capacitive reactance is halved and the current is doubled. |
| 2. | The capacitive reactance is doubled and the current is halved. |
| 3. | The capacitive reactance remains the same and the current is doubled. |
| 4. | The current remains the same and the capacitive reactance is halved. |
Subtopic: Â Different Types of AC Circuits |
 81%
Level 1: 80%+
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A resistor of \(200~\mathrm{\Omega}\) and a capacitor of \(15.0~\mu\text{F}\) are connected in series to a \(220~\text{V}\), \(50\) Hz AC source. The voltage (RMS) across the resistor and the capacitor are respectively:
1. \( 160.3 ~\text{V}, 160.3 ~\text{V} \)
2. \( 151 ~\text{V}, 151 ~\text{V} \)
3. \( 160.3 ~\text{V}, 151 ~\text{V} \)
4. \( 151 ~\text{V}, 160.3 ~\text{V}\)
Subtopic: Â Different Types of AC Circuits |
Level 3: 35%-60%
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An AC source is connected to the given circuit. The value of \(\phi\) will be:
| 1. | \(60^\circ\) | 2. | \(90^\circ\) |
| 3. | \(30^\circ\) | 4. | \(45^\circ\) |
Subtopic: Â Different Types of AC Circuits |
 68%
Level 2: 60%+
NEET - 2023
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If \(Z_1\) and \(Z_2\) are the impedances of the given circuits \(\mathrm{(a)}\) and \(\mathrm{(b)}\) as shown in the figures, then choose the correct option:
1. \(Z_1<Z_2\)
2. \(Z_1+Z_2=20~\Omega\)
3. \(Z_1=Z_2\)
4. \(Z_1>Z_2\)
1. \(Z_1<Z_2\)
2. \(Z_1+Z_2=20~\Omega\)
3. \(Z_1=Z_2\)
4. \(Z_1>Z_2\)
Subtopic: Â Different Types of AC Circuits |
 66%
Level 2: 60%+
NEET - 2023
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For very high frequencies, the effective impedance of the circuit (shown in the figure) will be:
| 1. | \(4~ \Omega\) | 2. | \(6~ \Omega\) |
| 3. | \(1~ \Omega\) | 4. | \(3~ \Omega\) |
Subtopic: Â Different Types of AC Circuits |
 55%
Level 3: 35%-60%
NEET - 2023
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A series \(LCR\) circuit with inductance \(10~\text{H}\), capacitance \(10~\mu \text{F}\), resistance \(50~\Omega\) is connected to an AC source of voltage, \(V=200 \sin (100 t) \text { volt }\). If the resonant frequency of the \(LCR\) circuit is \(\nu_0\) and the frequency of the AC source is \(\nu\), then:
| 1. | \(\nu=100 ~\text{Hz} ; ~\nu_0=\dfrac{100}{\pi} ~\text{Hz}\) |
| 2. | \(\nu_0=\nu=50~\text{Hz}\) |
| 3. | \(\nu_0=\nu=\dfrac{50}{\pi} ~\text{Hz}\) |
| 4. | \(\nu_{0}=\dfrac{50}{\pi}~ \text{Hz}, \nu=50 ~\text{Hz}\) |
Subtopic: Â Different Types of AC Circuits |
 74%
Level 2: 60%+
NEET - 2022
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A household ac circuit has an applied voltage of \(220\) V (RMS) and the current flowing through the circuit is \(2.2\) A (RMS), the phase difference between them being \(60^\circ.\) Then:
| 1. | the impedance in the circuit is \(100~\Omega.\) |
| 2. | the resistance in the circuit is \(200~\Omega.\) |
| 3. | the power dissipated is \(484\) W. |
| 4. | all the above are true. |
Subtopic: Â Different Types of AC Circuits |
 64%
Level 2: 60%+
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An alternating emf (AC) is applied across the circuit shown in the figure. Let \(V_{AX}\) be the voltage across the inductor \(L,\) and \(V_{XY}\) be the voltage across the resistor \(R.\) Let the angular frequency be \(\omega.\) The phase difference between \(V_{XY}\) and \(V_{AX}\):
| 1. | depends on the ratio \(\dfrac{\omega L}{R}\) |
| 2. | depends on the quantity \(\sqrt{(\omega L)^2+R^2}\) |
| 3. | depends on \(L\) and \(R,\) but not on \(\omega\) |
| 4. | is independent of \(L,R,\omega\) |
Subtopic: Â Different Types of AC Circuits |
Level 3: 35%-60%
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Two circuits: \((1)\) an \(L\text-R\) circuit and \((2)\) an \(R\text-C\) circuit are driven by the same alternating current. The phase difference between the current and the voltage is twice in the \(1\)st case with respect to the \(2\)nd case and both the angles add up to \(90^\circ.\) The resistances are equal in both cases. The ratio of their reactances (first: second) is:
| 1. | \(\sqrt3:1\) | 2. | \(1:\sqrt3\) |
| 3. | \(3:1\) | 4. | \(2:1\) |
Subtopic: Â Different Types of AC Circuits |
 53%
Level 3: 35%-60%
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