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# solution_pdf31 - tovar(jdt436 homework 32 Turner(59070 This...

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tovar (jdt436) – homework 32 – Turner – (59070) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 3) 10.0 points In an LR circuit, a 94 V( rms ), 91 Hz source is in series with a 21 mH inductor and a 22 Ω resistor. What is the maximum rms current? Correct answer: 3 . 75049 A. Explanation: Let : f = 91 Hz , L = 0 . 021 H , R = 22 Ω , and V rms = 94 V . The inductive reactance is X L = ω L = 2 π f L = 2 π (91 Hz) (0 . 021 H) = 12 . 0072 Ω . The impedance of an RL circuit is the same as that of an RLC circuit, but without the capacitive reactance. Namely Z = radicalBig R 2 + X 2 L = radicalBig (22 Ω) 2 + (12 . 0072 Ω) 2 = 25 . 0634 Ω . The rms current is I rms = V rms Z = 94 V 25 . 0634 Ω = 3 . 75049 A . 002 (part 2 of 3) 10.0 points What is the power factor? Correct answer: 0 . 877775. Explanation: The phase angle in an RL circuit is the same as that of an RLC circuit, but without the capacitive reactance. Namely φ = tan 1 parenleftbigg X L R parenrightbigg = tan 1 parenleftbigg 12 . 0072 Ω 22 Ω parenrightbigg = 28 . 6249

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solution_pdf31 - tovar(jdt436 homework 32 Turner(59070 This...

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