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Two lamps rated 25 W - 220 V and 100 W - 220 V are connected to 220 V supply. Calculate the powers consumed by the lamps.
Given,
First lamp = 25 W - 220 V
Second lamp = 100 W - 220 V
Voltage (V) = 220 V
Power Consumed (P) = ?
Now, to calculate the resistance
For first lamp, P1=25W
Voltage (V1)=220V
R1=V21P1=220225=1936Ω [∵ P=V2R]
For second lamp, P2=100W
Voltage (V2)=220V
R2=V22P2=2202100=484Ω
If two lamps are connected in series and joined to 220 V mains, then the current in the circuit (I) is calculated as,
I=VR1+R2=2201936+484=0.091A
Finally,
Power consumed by the first lamp = I2∗R1=(0.091)2∗1936=16W
Power consumed by the second lamp = I2∗R2=(0.091)2∗484=4W
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