The rms current in an RL circuit is 0.29 A when it is connected to an ac generat

Question

The rms current in an RL circuit is 0.29 A when it is connected to an ac generator with a frequency of 65 Hz and an rms voltage of 25 VGiven that the inductor has an inductance of 160
mH , what is the resistance of the resistor?
Express your answer using two significant figures.

R =
    

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Part B

Find the rms voltage across the resistor.
Express your answer using two significant figures.

Vrms,R =
  V  

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Part C

Find the rms voltage across the inductor.

Explanation / Answer

Series RL circuit:

Vs = 25 volts at 65 Hzandi = 0.29 amps...magnitude


X = 2•ƒ•L
X = 2•(65)•(0.16)
X = 65.31 ...inductive reactance magnitude

= (Vs) i
= 25 0.29
= 86.20 ...total impedance magnitude

R²+(X)²=()²
R²+(65.31)²=(86.20)²
R = 56.26

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~...

(b)
V = i•R
V = (0.29)•(56.26)
V = 16.31 volts...magnitude, and an angle = 0º

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~...

(c)
V = i•(X)
V = (0.29)•(65.31)
V = 18.94 volts...magnitude, and an angle = 90º

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