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Q. No.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 |
60%
Level 2: 60%+
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.
Which of these statements is/are correct?
| 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 |
| 1. | I only | 2. | II only |
| 3. | I and II only | 4. | II and III only |
Subtopic: Different Types of AC Circuits |
64%
Level 2: 60%+
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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 |
57%
Level 3: 35%-60%
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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:
(\(f= 50~\text{Hz}\))
(\(f= 50~\text{Hz}\))
| 1. | \(0.052\) H | 2. | \(2.42\) H |
| 3. | \(16.2\) mH | 4. | \(1.62\) mH |
Subtopic: Different Types of AC Circuits |
56%
Level 3: 35%-60%
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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 |
89%
Level 1: 80%+
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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. \( \frac{1}{2}\left(i_1^2+i_2^2\right)^{1 / 2}\)
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 |
81%
Level 1: 80%+
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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 |
Level 3: 35%-60%
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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
1. \(10\) A
2. \(5\) A
3. \(33.3\) A
4. \(3.33\) A
Subtopic: Different Types of AC Circuits |
69%
Level 2: 60%+
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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 |
79%
Level 2: 60%+
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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 |
84%
Level 1: 80%+
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