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One type of "light dimmer" consists of a variable capacitor C (whose capacitance is adjustable between zero and Cmax) connected in series with the lightbulb. The electrical supply is 130 V (rms) at 61.0 Hz; the lightbulb is rated as "130 V,1100 W."

(a) What value of Cmax is required if the rate of energy dissipation in the lightbulb is to be varied by a factor of 5 from its upper limit of 1100 W? Assume that the resistance of the lightbulb is independent of its temperature.

(b) Suppose a variable resistor (adjustable between zero and Rmax) were used instead of a capacitor. What value of Rmax would be required?

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