A resistance \(R\) draws power \(P\) when connected to an AC source. If an inductance is now placed in series with the resistance, such that the impedance of the circuit becomes \(Z\) the power drawn will be:
\(1 .\) \(P \left(\frac{R}{Z}\right)^{2}\)
\(2 .\) \(P \sqrt{\frac{R}{Z}}\)
\(3 .\) \(P \left(\frac{R}{Z}\right)\)
\(4 .\) \(P\)

Subtopic:  Power factor |
 59%
From NCERT
NEET - 2015
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The diagram shows a capacitor \(C\) and a resistor \(R\) connected in series to an AC source. \(V_1\) and \(V_2\) are voltmeters and \(A\) is an ammeter.

              

Consider now the following statements
I. Readings in \(A\) and \(V_2\) are always in phase
II. Reading in \(V_1\) is ahead in phase with reading in \(V_2\)
III. Readings in \(A\) and \(V_1\) are always in phase
Which of these statements is/are correct?
1. I only 2. II only
3. I and II only 4. II and III only
Subtopic:  Different Types of AC Circuits |
 60%
From NCERT
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The figure shows the variation of \(R\), \(X_L\), and \(X_C\) with frequency \(f\) in a series of \(L\), \(C\), and \(R\) circuits. For which frequency point is the circuit inductive?

          

1. \(A\) 2. \(B\)
3. \(C\) 4. All points
Subtopic:  Different Types of AC Circuits |
 54%
From NCERT
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One \(10~\text{V}\), \(60~\text{W}\) bulb is to be connected to \(100~\text{V}\) line. The required induction coil has a self-inductance of value:
(\(f= 50~\text{Hz}\)) 
1. \(0.052\) H 2. \(2.42\) H
3. \(16.2\) mH 4. \(1.62\) mH
Subtopic:  Different Types of AC Circuits |
 53%
From NCERT
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In an \(LCR\) series network, \(V_L = 40~\text{V}, V_C = 20~\text{V}~\text{and}~V_R = 15~\text{V}.\) The supply voltage will be:
1. \(25~\text{V}\)
2. \(75~\text{V}\)
3. \(35~\text{V}\)
4. zero

Subtopic:  Different Types of AC Circuits |
 88%
From NCERT
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An alternating current is given as \(i = i_1\cos\omega t- i_2 \sin \omega t.\) The value of rms current is given by:
1. \( \frac{1}{\sqrt{2}}\left(i_1+i_2\right) \)
2. \( \frac{1}{\sqrt{2}}\left(i_i+i_2\right)^2 \)
3. \( \frac{1}{\sqrt{2}}\left(i_1^2+i_2^2\right)^{1 / 2} \)
4. \( \frac{1}{2}\left(i_1^2+i_2^2\right)^{1 / 2}\)
Subtopic:  RMS & Average Values |
 80%
From NCERT
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In a step-up transformer, the turn ratio is \(1:2\). A Leclanche cell (emf \(1.5\) V) is connected across the primary coil. What would be the voltage developed in the secondary coil?
1. \(3.0\) V 2. \(0.75\) V
3. \(1.5\) V 4. Zero
Subtopic:  Transformer |
From NCERT
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A \(220\) V, \(50\) Hz AC source is connected to an inductance of \(0.2\) H and a resistance of \(20\) ohms in series. How much current flows across the circuit?
1. \(10\) A
2. \(5\) A
3. \(33.3\) A
4. \(3.33\) A
Subtopic:  Different Types of AC Circuits |
 64%
From NCERT
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When a step-down transformer is connected to a \(2400\) volt line, the output load receives \(80\) amps of current. The ratio of the turns in the primary and secondary coils is \(20:1\). If transformer efficiency is \(100\%\), then the current flowing in the primary coil will be:
1. \(1600\) A 2. \(20\) A
3. \(4\) A 4. \(1.5\) A
Subtopic:  Transformer |
 76%
From NCERT
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A generator produces a voltage that is given by \(V = 240\sin(120t)\), where \(t\) is in seconds. The frequency and rms voltage are:
1. \(60\) Hz and \(240\) V
2. \(19\) Hz and \(120\) V
3. \(19\) Hz and \(170\) V
4. \(754\) Hz and \(70\) V
Subtopic:  RMS & Average Values |
 83%
From NCERT
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