An AC voltage source is connected to a series \(LCR\) circuit. When \(L\) is removed from the circuit, the phase difference between current and voltage is \(\dfrac{\pi}{3}\). If \(C\) is instead removed from the circuit, the phase difference is again \(\dfrac{\pi}{3}\) between current and voltage. The power factor of the circuit is:
1. \(0.5\)
2. \(1.0\)
3. \(-1.0\)
4. zero

Subtopic:  Power factor |
 67%
From NCERT
NEET - 2020
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In a transformer, the number of turns in the primary and secondary coils is \(410\) and \(1230\) respectively. If the current in the primary is \(6~\text A,\) then what is the current in the secondary coil?
1. \(2~\text A\)
2. \(18~\text A\)
3. \(12~\text A\)
4. \(1~\text A\)
Subtopic:  Transformer |
 75%
From NCERT
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A \(100~\Omega\) resistor is connected to a \(220~\text{V}\), \(50~\text{Hz}\) \(\text{AC}\) supply. The net power consumed over a full cycle is:
1. \(484~\text{W}\) 2. \(848~\text{W}\)
3. \(400~\text{W}\) 4. \(786~\text{W}\)
Subtopic:  Power factor |
 87%
From NCERT
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A \(44\) mH inductor is connected to a \(220\) V, \(50\) Hz AC supply. The RMS value of the current in the circuit is:
1. \(1.0~\text{A}\) 2. \(15~\text{A}\)
3. \(15.92~\text{A}\) 4. \(14.29~\text{A}\)
Subtopic:  Different Types of AC Circuits |
 80%
From NCERT
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Calculate the \(Q\text-\)value of a series \(LCR\) circuit with \(L= 2.0~\text{H}, C = 32~\mu\text{F}\) and \(R = 10~\Omega\).
1. \(35\)
2. \(20\)
3. \(15\)
4. \(25\)

Subtopic:  Different Types of AC Circuits |
 81%
From NCERT
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The variation of EMF with time for four types of generators is shown in the figures. Which amongst them can be called AC voltage?

   
(a) (b)
   
(c) (d)

Choose the correct option from the given ones:

1. (a) and (d)
2. (a), (b), (c), and (d)
3. (a) and (b)
4.  only (a)

Subtopic:  AC vs DC |
 79%
From NCERT
NEET - 2019
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In an \(LCR\) series AC circuit, the voltage across each of the components \(L, C\) and \(R\) is \(50\) V. The voltage across the \(LR\) combination will be:
1. \(50\) V 2. \(50 \sqrt{2} ~\text{V}\)
3. \(100\) V 4. \(0\) V
Subtopic:  Different Types of AC Circuits |
 72%
From NCERT
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A transistor-oscillator using a resonant circuit with an inductance \(L\) (of negligible resistance) and a capacitance \(C\) has a frequency \(f\). If \(L\) is doubled and \(C\) is changed to \(4C\), the frequency will be:
1. \(\frac{f}{4}\)
2. \(8f\)
3. \(\frac{f}{2\sqrt{2}}\)
4. \(\frac{f}{2}\)

Subtopic:  Different Types of AC Circuits |
 87%
From NCERT
AIPMT - 2006
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An ideal resistance \(R,\) ideal inductance \(L,\) ideal capacitance \(C,\) and AC voltmeters \(V_1, V_2, V_3~\text{and}~V_4 \)are connected to an AC source as shown. At resonance:
    

1. reading in \(V_3\) = reading in \(V_1\)
2. reading in \(V_1\) = reading in \(V_2\)
3. reading in \(V_2\) = reading in \(V_4\)
4. reading in \(V_2\) = reading in \(V_3\)
Subtopic:  Different Types of AC Circuits |
 85%
From NCERT
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An \(LCR\) series circuit with \(100~\Omega\) resistance is connected to an AC source of \(200~\text V\) and an angular frequency of \(300~\text{rad/s}.\) When only the capacitance is removed, the current lags behind the voltage by \(60^{\circ}.\) When only the inductance is removed, the current leads the voltage by \(60^{\circ}.\) Calculate the power dissipated in the \(LCR\) circuit.
1. \(200~\text W\) 
2. \(400~\text W\) 
3. \(300~\text W\) 
4. zero

Subtopic:  Power factor |
 66%
From NCERT
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