# An alternating current is given as i = i1 cos $$\omega t$$ - i2 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 |
81%
From NCERT
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In a step-up transformer, the turn ratio is 1:2 . A Leclanche cell (e.m.f. 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 120 t, where t is in seconds. The frequency and r.m.s. 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%
From NCERT
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In an ac circuit, the current is given by $$i=5\sin(100t-\frac{\pi}{2})$$ and the ac potential is V = 200 sin(100t) volt. The power consumption is:

1. 20 W

2. 40 W

3. 1000 W

4. 0

Subtopic:  Power factor |
86%
From NCERT
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In an LCR circuit having L = 8.0 henry, C = 0.5 μF and R = 100 ohm in series, what is the resonance frequency?

2. 600 Hz

4. 500 Hz

Subtopic:  Different Types of AC Circuits |
70%
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A circuit consists of 3 ohms of resistance and 4 ohms of reactance. The power factor of the circuit is:

1. 0.4

2. 0.6

3. 0.8

4. 1.0

Subtopic:  Power factor |
75%
From NCERT
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The power factor of a good choke coil is:

1. Nearly zero

2. Exactly zero

3. Nearly one

4. Exactly one

Subtopic:  Power factor |
55%
From NCERT
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In a series LCR circuit, resistance $$R=10~\Omega$$ and the impedance $$Z=20~\Omega$$. The phase difference between the current and the voltage will be:

1. 30°

2. 45°

3. 60°

4. 90°

Subtopic:  Different Types of AC Circuits |
83%
From NCERT
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