(7%) Problem 8: An RL circuit consists of a 42.5 ? resistor and a 400 mH inducto

Question

(7%) Problem 8: An RL circuit consists of a 42.5 ? resistor and a 400 mH inductor. Randomized Variables R-42.5 ? L-490 mH f1 = 65 Hz 2 = 8 kHz 50% Part (a) Find its impedance Z at 65 Hz in ?. 50% Part (b) Find its impedance Z at 8 kHz in . Grade Summa Potential Submissi Z' = 10.04911 10% 7 8 9 HOE sin0 cotan0 asin acosO atanacotan sinh(0 cosh0anh0cotanh0 cos0 onS Attempts remaining: 10 % per attempt) detailed view END 50% 50% Degrees o Radians BACKSPACE I DELI CLEAR Submit Hint I give up! Hints: 290 deduction per hint. Hints r emaining: L1 Feedback: 2% deduction per feedback.

Explanation / Answer

Part B

Impedance is given by:

Z = sqrt (R^2 + XL^2)

R = 42.5 ohm

XL = w*L

XL = 2*pi*f*L

XL = 2*pi*8000*490*10^-3

XL = 24630.09 ohm

Now

Z = sqrt (42.5^2 + 24630.09^2)

Z = 24630.12 ohm

for part A

Z = sqrt (42.5^2 + (2*pi*65*490*10^-3)^2) = 204.58 ohm

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