RL Circuits – Exercise – 1

16. A 3.3 kΩ resistor and a 120 mH coil are in parallel. Both components are across a 2 kHz, 12 V ac source. The total current in the circuit is ________.

(a) 8.74 mA
(b) 874 mA
(c) 874 μA
(d) 8.74 μA

Answer
Answer : (a)
Explanation
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17. A 470 Ω resistor and a coil with 125 Ω inductive reactance are in parallel. Both components are across a 15 V ac voltage source. Current through the inductor is ________.

(a) 152 mA
(b) 32 mA
(c) 12 mA
(d) 120 mA

Answer
Answer : (d)
Explanation
Explanation :
I = V/X= 15/125 = 0.12 A = 120 mA. Let us discuss.
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18. A 1.2 kΩ resistor is in series with a 15 mH coil across a 10 kHz ac source. The magnitude of the total impedance is ________.

(a) 152.6 Ω
(b) 1,526 Ω
(c) 1,200 Ω
(d) 942 Ω

Answer
Answer : (b)
Explanation
Explanation :

R = 1.2k ohm = 1.2 * 1000 = 1200 ohm
L = 15mH = 15 * 10^-3 = 0.015H
F = 10kHz = 10 * 1000 = 10,000 Hz

XL = 2πfL = 2 * 3.14 * 10,000 * 0.015 = 942 Ω

Z = √ (R^2 + XL^2) = √ (1200^2 + 942^2) = 1525.86 = 1,526 Ω. Let us discuss.

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