An inductor and a resistor are connected in series. When connected to a 60 Hz, 9

Question

An inductor and a resistor are connected in series. When connected to a 60 Hz, 90 V (rms) source, the voltage drop across the resistor is found to be 55 V (rms) and the power delivered to the circuit is 11 W.

The sketch shown, marked O where a hole is to be drilled. A robot arm moves in the x direction An inductor and a resistor are connected in series. When connected to a 60 Hz, 90 V (rms) source, the voltage drop across the resistor is found to be 55 V (rms) and the power delivered to the circuit is 11 W. Find the resistance. R = Ohm Find the inductance. L = H

Explanation / Answer

P =VI

I =P/V =11/90

I =0.1222 A

a)

R=V/I =55/0.1222

R =450 ohms

b)

voltage across inductor

VL =90-55 =35 V

XL =VL/I =35/0.1222 =286.36 ohms

XL =1/2pifL

=>L =1/2pifXL =1/2pi*60*286.36

L=9.26*10^-6 H

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