1. At what frequency will a 32.0-mH inductor have a reactance of 660 Ω?2. What is the reactance of a 9.2-μF capacitor at a frequency of (a) 60.0 Hz, (b) 1.00 MHz?3. A 3800-pF capacitor is connected in series to a 26.0-μH coil of resistance 2.00 Ω. Whatis the resonant frequency of this circuit?4. Determine the total impedance, phase angle, and current in an LRC circuit connected to a 10.0-kHz, 1025-V (peak value) source if L 32.0 mH, R 8.70 kΩ, and C 6250 pF.
I'll give you hints, not answers. 1. Z (impedance) of an inductor j2(pi)(f)L 2. Z of a capacitor 1/(j2(pi)(f)C). 3. Set Z capacitor equal to Z inductor and solve for f. But this time, add '2' (without a j) to the impedance of the inductor. 4. Use circuit analysis using the Z's given above. The phase angle is calculated as follows. Ztotal a+Bj phase angle arctan(B/a). Make sure the angle corresponds to the quadrant a and B are referring to. Good luck.
