Suppose that a small incandescent light bulb (R=2.88 kilo ohms) is connected to

Question

Suppose that a small incandescent light bulb (R=2.88 kilo ohms) is connected to a standard European household AC electrical socket (240.-V rms voltage and 50.0 Hz frequency).

(a) find the average power dissipated by the light bulb.

(b) the same light bulb is instead connected in a series with an inductor (L=14.4 H) and a large DC voltage supply (Vb=240.V) The switch is closed at t=0. Find the value of the power dissipated by the light bulb after a very long period of time (as time goes to infinity)?

(c) find a mathematical expression for the power dissipated by the light bulb as a function of time in terms of R, L and Vb.

Explanation / Answer

a) average power dissipated = Vrms ^2 /R =240 *240 /2.88 kilo ohm = 20 Watts

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