RL Circuits – Exercise – 1

11. A 1.5 kΩ resistor and a coil with a 2.2 kΩ inductive reactance are in series across an 18 V ac source. The power factor is ________.

(a) 564
(b) 0.564
(c) 6.76
(d) 55.7

Answer
Answer : (b)
Explanation
Explanation :
z = (r^2+XL^2)^1/2
= (1500^2+2200^2)^1/2 = 2663
power factor = cosq = r/z
= 1500/2663 = 0.564. Let us discuss.
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12. To increase the current in a series RL circuit, the frequency ________.

(a) should be increased
(b) should be decreased
(c) should be constant
(d) cannot be determined without values

Answer
Answer : (b)
Explanation
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13. In a series RL circuit, 12 V rms is measured across the resistor, and 14 V rms is measured across the inductor. The peak value of the source voltage is ________.

(a) 18.4 V
(b) 26.0 V
(c) 2 V
(d) 20 V

Answer
Answer : (b)
Explanation
Explanation :

V­­­rms = (V­­­r^2 + V­­­l^2)^1/2
= (12^2 + 14^2)^1/2
= (340)^1/2 = 18.43
V­­­peak = V­­­rms * (2)^1/2
=18.43 * 1.41 = 26 volts. Let us discuss.

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14. A 140 Ω resistor is in parallel with an inductor having 60 Ω inductive reactance. Both components are across a 12 V ac source. The magnitude of the total impedance is ________.

(a) 5.51 Ω
(b) 55.15 Ω
(c) 90 Ω
(d) 200 Ω

Answer
Answer : (b)
Explanation
Explanation :
Z = (R * XL) / √ (R2 + XL2)
Z = 140 * 60 / √(140 * 140 + 60 * 60)
= 8400 / 152.315 = 55.15 Ω. Let us discuss.
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15. A 470 Ω resistor and a 200 mH coil are in parallel. Both components are across a 1.5 kHz ac source. The total admittance of the circuit, in polar form, is ________.

(a) 12.60 ∠-76° mS
(b) 12.18 ∠76° mS
(c) 218 ∠-76° mS
(d) 12.18 ∠-76° mS

Answer
Answer : (d)
Explanation
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