Consider two circuits. The current in circuit 1, containing an inductor of self-

Question

Consider two circuits. The current in circuit 1, containing an inductor of self-inductance L, has a frequency f1, while the current in circuit 2, containing a capacitor of capacitance C, has a frequency f2. If we increase f1 and decrease f2, both bulbs grow dimmer.

If we keep f1 and f2 constant, we can achieve the exact same effect of decreasing the brightness of each bulb by performing which of the following sets of actions?

A) increasing C and decreasing L

B) increasing both C and L

C) decreasing C and increasing L

D) decreasing both C and L.

It isn't A or B. Please include the formula/reasoning you used to come to the correct answer. Thank you.

Explanation / Answer

the bulb gets dimmer when the resistance increases

the resistance of inductor increase when L increase, since XL = wL

the resistance of capacitor increase when C decrease, since XC = 1/wC

so it is C

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