A resistance R and a 1.8 H inductance are in series across a 69 Hz ac voltage. T

Question

A resistance R and a 1.8 H inductance are in series across a 69 Hz ac voltage. The voltage across the resistor is 35 V and the voltage across the inductor is 60 V. Be sure to use the geometric method (pythagorean theorem) to add the voltages across r and L.

A resistance R and a 1.8 H inductance are in series across a 69 Hz ac voltage. The voltage across the resistor is 35 V and the voltage across the inductor is 60 V. Be sure to use the geometric method (pythagorean theorem) to add the voltages across r and L. (a) What is the resistance R? Omega (b) What is the ac input voltage? V

Explanation / Answer

XL = 2 pi f l = 2 pi * 69 * 1.8 = 780.4

I = VL / XL = 60 / 780.4 = 0.077

R = VR / L = 35 / 0.077 = 455 ohm

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V = sqrt [VR2 + VL2]

= sqrt [352 + 602] = 69.46 V

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