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Current Electricity

Question

Which of the two has greater resistance: a 2 kilowatt heater or a 200 watt tungsten bulb, both marked for 250 volts?

Solution

Given a heater and a bulb.

Resistance of heater, $R_{1} = \frac{V^{2}}{P_{1}} = \frac{(250)^{2}}{2000} = 31.25 Ω$

Resistance of bulb,
$R_{2} = \frac{V^{2}}{P_{2}} = \frac{(250)^{2}}{200} = 312.5 Ω$

So, the resistance of bulb is greater than that of heater.

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Current Electricity

Which of the two has greater resistance: a 2 kilowatt heater or a 200 watt tungsten bulb, both marked for 250 volts?

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