A light bulb is connected to a 120-V wallsocket. The current in the bulb depends

Question

A light bulb is connected to a 120-V wallsocket. The current in the bulb depends on the time taccording to the relation I = (3.535 A) sin[(439.6Hz)t]. (a) What is the frequency of the alternatingcurrent?
1 Hz

(b) Determine the resistance of the bulb's filament?
2

(c) What is the average power delivered to the light bulb?
3 W I = (3.535 A) sin[(439.6Hz)t]. (a) What is the frequency of the alternatingcurrent?
1 Hz

(b) Determine the resistance of the bulb's filament?
2

(c) What is the average power delivered to the light bulb?
3 W (a) What is the frequency of the alternatingcurrent?
1 Hz

(b) Determine the resistance of the bulb's filament?
2

(c) What is the average power delivered to the light bulb?
3 W

Explanation / Answer

Voltage V = 120 V current   I = (3.535A) sin[(439.6 Hz)t]. compare this with I = I ' sin ( w t ) (a) the frequency of the alternatingcurrent  w = 439.6 Hz


(b) $ the resistance of the bulb's filament R = V / ( I ' /2 )                                                                  = 48ohm


(c) the average power delivered to the light bulb = I ' ^ 2 /2 R                                                                         = 0.1301 W

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