Calculate the Q-value of a series LCR circuit with L = 2.0 H, C = 32 μF and R = 10 \(\Omega\).

1. 35

2. 20

3. 15

4. 25

Subtopic:  Different Types of AC Circuits |
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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)

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

Subtopic:  AC vs DC |
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The peak value of an alternating e.m.f. E=E0 sin ωt is 10 volts and its frequency is 50 Hz. At a time \(t=\frac{1}{600}~s,\) the instantaneous value of the e.m.f. will be:

1. 1 volt 2. \(5 \sqrt{3}\) volts
3. 5 volts 4. 10 volts
Subtopic:  RMS & Average Values |
 78%
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The time required for a 50 Hz sinusoidal alternating current to change its value from zero to the r.m.s. value will be:

1. 1.5×10-2 s

2. 2.5×10-3 s

3. 10-1 s

4. 10-6 s

Subtopic:  RMS & Average Values |
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A sinusoidal supply of frequency 10 Hz and r.m.s. voltage of 12 V is connected to a 2.1 μF capacitor. What is the r.m.s. value of current?

1. 5.5 mA

2. 20 mA

3. 26 mA

4. 1.6 mA

Subtopic:  Different Types of AC Circuits |
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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 |
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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. \(\pi \over 2\) 4. \(2\pi\)
Subtopic:  Different Types of AC Circuits |
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In a series LC circuit, if L=10-3 H and C=3×10-7 F is connected to a 100 V-50 Hz a.c. source, the impedance of the circuit is:

1. 1053π-10π

2. 0.1π-3×10-5π

3. 1053π-π10

4. None of these

Subtopic:  Different Types of AC Circuits |
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When does the voltage in a series LCR circuit lead the current? (Given that ω0=resonant angular frequency)

1. ω<ω0

2. ω=ω0

3. ω>ω0

4. None of these

Subtopic:  Different Types of AC Circuits |
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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 A

2. 15 A

3. 15.92 A

4. 14.29 A

Subtopic:  Different Types of AC Circuits |
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