Numerical
1 How much energy is consumed when a current of 5 amphere flows through the filaments of a heater having resistance of 10 ohms for two hours? Express it in joules.
2 An electric bulb is rated at 220 V ,100W .What is its resistance.
3 An electric bulb is connected to 220V power supply lines.If the bulb draws a current of 0.5 A .Calculate the power of the bulb.
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67
Answer:
1.)
Current = I = 5 Amperes
Resistance of the resistor = R = 10 ohms
Time = t = 2 hours = 7200
Energy produced = I²RT
Energy produced = 5²×10×7200
Energy produced = 250×7200
Energy produced = 18,00,000 joules
The energy produced is equal to 1,80,000 joules
2.)
Potential difference = v = 220 volts
Power rating = P = 100 watts
P=v²/r
100=220²/r
100r = 48,400
r = 48,400/100
Resistance = 484 ohms
The resistance is equal to 484 ohms
3.)
Current = I = 0.5 Amperes
Potential difference = v = 220 volts
Power = v×i
Power = 220×0.5
Power = 110 watts
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