Question:
An electric bulb is rated $ 220\, V $ and $ 100\, W $ . What is the power consumed by it when operated on $ 110\, V $ ?
An electric bulb is rated $ 220\, V $ and $ 100\, W $ . What is the power consumed by it when operated on $ 110\, V $ ?
Updated On: Jun 8, 2024
- $ 25 \,W $
- $ 50 \,W $
- $ 75 \,W $
- $ 90 \,W $
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The Correct Option is A
Solution and Explanation
Resistance of the bulb $=\frac{V^{2}}{P}$
$=\frac{220\times220}{100}$
$=484 \, \Omega$
Power of the same bulb when operated on $110\,V$
$\frac{(V')^{2}}{R}$
$=\frac{110\times 110}{484}$
$=25\,W$
$=\frac{220\times220}{100}$
$=484 \, \Omega$
Power of the same bulb when operated on $110\,V$
$\frac{(V')^{2}}{R}$
$=\frac{110\times 110}{484}$
$=25\,W$
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Concepts Used:
Electric Power
Power is defined as the rate of doing work. Electric power is the rate at which electrical energy is transferred through an electric circuit, i.e. the rate of transfer of electricity. The symbol for Electric Power is ‘P’. SI unit of electric power is Watt.
Electric Power Formula
P = VI
From Ohm's Law, V = IR
Hence, Power can also be expressed as P = I2R