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Question

Operating voltage
Resistance of the device (R) Currents flowing in the device
$$I = V/R$$
Heat generated per second, Heat
$$H = V \times I \times t$$
Power given by the device
$$P = V \times I$$ or $$P = H/t$$
Reason for the change in power
230V 57.5 $$\Omega$$ 4A 920J 920WDifference in resistance
230V 11.5 $$\Omega$$ 2A 460J 460W Difference in resistance
230V 230 $$\Omega$$ 1A 230J 230W Difference in resistance
115V 57.5 $$\Omega$$ 2A 230J 230W Difference in resistance
460V 57.5 $$\Omega$$ 8A 3680J 3680W Difference in resistance
The table shows details of an electric heating device designed to work in 230 V. Complete the table by calculating the change in the heat and power on changing the voltage and resistance of the device. Analyze the table and answer the following question.
What change happens to power on increasing the resistance without changing the voltage?

Solution
Verified by Toppr

On increasing the resistance without changing the voltage, power decreases.
$$P=\dfrac{V^2}{R}$$
Since V is constant,
$$P \propto \dfrac{1}{R}$$

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Operating voltage
Resistance of the device (R) Currents flowing in the device
$$I = V/R$$
Heat generated per second, Heat
$$H = V \times I \times t$$
Power given by the device
$$P = V \times I$$ or $$P = H/t$$
Reason for the change in power
230V 57.5 $$\Omega$$ 4A 920J 920WDifference in resistance
230V 11.5 $$\Omega$$ 2A 460J 460W Difference in resistance
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What change happens to power on increasing the resistance without changing the voltage?
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