# An AC source producing emf ε = ε0 [cos(100 π s–1)t + cos(500 π s–1)t] is connected in series with a capacitor and a resistor. The steady-state current in the circuit is found to be i = i1 cos [(100 π s–1)t +ϕ1] i2 cos[(500 π s–1)t + φ2] 1.  i1 > i2  2.  i1 = i2  3.  i1 < i2 4.  the information is insufficient to find the relation between i1 and i2

Subtopic:  Different Types of AC Circuits |
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The peak voltage in a 220 V AC source is

1.  220 V

4.  440 V

Subtopic:  RMS & Average Values |
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An AC source is rated 220 V, 50 Hz. The average voltage is calculated in a time interval of 0.01 s. It

1.  must be zero

2.  may be zero

3.  is never zero

4.  is (220$$\sqrt2$$ ) V

Subtopic:  RMS & Average Values |
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The magnetic field energy in an inductor changes from maximum value to minimum value in 5.0 ms when connected to an AC source. The frequency of the source is:
1. 20 Hz
2. 50 Hz
3. 200 Hz
4. 500 Hz

Subtopic:  LC Oscillations |
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Which of the following plots may represent the reactance of a series LC combination?

Correct option:

1.  a

2.  b

3.  c

4.  d
Subtopic:  Different Types of AC Circuits |
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A series AC circuit has a resistance of 4  Ω and a reactance of 3. Ω. The impedance of the circuit is

1.  5 Ω

2.  7 Ω

3.  12/7 Ω

4.  7/12 Ω

Subtopic:  Different Types of AC Circuits |
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Transformers are used

1.  in DC circuits only

2.  in AC circuits only

3.  in both DC and AC circuits

4.  neither in DC nor in AC circuits

Subtopic:  Transformer |
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An alternating current is given by

i – i1 cos ωt + i2 sin ωt

The rms current is given by

1.    $$\frac{i_{1}+i_{2}}{\sqrt{2}}$$

2.  $$\frac{\left|i_{1}+i_{2}\right|}{\sqrt{2}}$$

3.   $$\sqrt{\frac{i_{1}^{2}+i_{2}^{2}}{2}}$$

4.  $$\sqrt{\frac{i_{1}^{2}+i_{2}^{2}}{\sqrt{2}}}$$

Subtopic:  RMS & Average Values |
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An alternating current having peak value 14 A is used to heat a metal wire. To produce the same heating effect, a constant current i can be used where i is

1.  14 A

3.  7 A

Subtopic:  Power factor |
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A constant current of 2.8 A exists in a resistor. The RMS current is

1.  2.8 A

3.  1.4 A

4.  undefined for a direct current

Subtopic:  RMS & Average Values |
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