A variable inductor can be placed in series with a lightbulb to act as a dimmer. (a)

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A variable inductor can be placed in series with a lightbulb to act as a dimmer. 

(a) What inductance would reduce the current through a 100 W lightbulb to 75% of its maximum value? Assume a 120 V rms,60 Hz source. 

(b) Could a variable resistor be used in place of the variable inductor to reduce the current? Why is the inductor a much better choice for a dimmer?

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