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  4. A ( 100 W , 200 V ) bulb is connected to a 160 V power supply. The power consumption would be

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Q. A ( $100 \, W$ , $200 \, V$ ) bulb is connected to a $160 \, V$ power supply. The power consumption would be

NTA AbhyasNTA Abhyas 2022

Solution:

Power = $100W$ , Voltage = $200V$
The resistance of bulb = $\frac{\textit{V}^{2}}{\textit{P}}=\frac{2 0 0 \times 2 0 0}{1 0 0}=400\Omega$
When the bulb is connected across $160V$ ,
Current in bulb = $\frac{1 6 0}{4 0 0}\text{A }$
Power consumption = $\textit{VI}=160\times \frac{1 6 0}{4 0 0}$ $=64W$