Electricity And Magnitism

An electric bulb is rated 220 V 220 V and 100 W 100 W . When it is operated on 110 V 110 V , the power consumed will be

75W 25W 100W 125W

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4 solutions

Ankit Vijay
Jun 1, 2014

Energy consumed by an appliance is given by the expression,

P = V I P=\frac { V }{ I }

R = V 2 P R=\frac { { V }^{ 2 } }{ P }

Where,

Power rating, P = 100 W P = 100 W

Voltage, V = 220 V V = 220 V

Resistance, R = 220 2 100 = 484 Ω R = \frac { { 220 }^{ 2 } }{ 100 } =484\Omega

The resistance of the bulb remains constant if the supply voltage is reduced to 110 V 110 V . If the

bulb is operated on 110 V, then the energy consumed by it is given by the expression for power as

P = ( V 2 ) R = 110 2 484 = 25 W \therefore P=\frac { ({ V }^{ 2 }) }{ R } =\frac { { 110 }^{ 2 } }{ 484 } =25W

Therefore, the power consumed will be 25 W 25 W

P should be V I or V by I

Yash Maurya - 7 years ago

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P should be V/I only

Ankit Vijay - 7 years ago

There is a certain problem however. We are assuming that the resistance of the filament remains constant with temperature. This does not happen in reality

Abhishek Chakraborty - 6 years, 11 months ago
Deepak Gowda
Jun 15, 2014

Power, P = I*V = I^2 * R = V^2/R

with respect to above equations power consumed is not 25W

any thoughts???

Shoudn't the answer be 50? P=VI not V by I

Kallol Dhar - 6 years, 2 months ago

yes! that's ri8 about P=VI we know that electric bulb=220V and Power consumed=100W so 1st we determined the current flowing in the circuit which I=100W/220V=0.454545 Now the condition is that the when we decreased the the Voltage 110V, So again we put P=IV=0.4545x110=50W if we compare the intial and final voltages is 220/110=2 that why 50W/2=25W

Faiz Kumar
Jun 16, 2014

P=V^2/R Find resistance with its help and then the power..

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