29: When a resistor is connected across the terminals of an ac generator (112 V)

Question

29: When a resistor is connected across the terminals of an ac generator (112 V) that has a fixed frequency, there is  a current of 0.500 A in the resistor. When an inductor is connected across the terminals of this same generator, there is a current of 0.400 A in the inductor.  When both the resistor and the inductor are connected in series between the terminals of this generator, what are a) the impedance of the series combination and b) the phase angle between the current and the voltage of the generator.

Explanation / Answer

Maximum voltage Vo = 112 V

Current I = 0.5 A

Resistance R = Vo / I = 224 ohm

Current after connnet a inductor in series I ‘ = 0.4A

Impedence Z = Vo/ I ‘

                     = 280 ohm

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