Power

#116 / Electrical & Computer Engineering Easy

A 60 V space heater is designed to use a 10 ohm resistor. Calculate the power (W) that is consumed by the heater when in use.

Expand Hint

Power absorbed by a resistive element:

$$$P=VI=\frac{V^{2}}{R}=I^2R$$$

where $$V$$ is voltage, $$I$$ is current, and $$R$$ is resistance.

Hint 2

Based on the problem statement’s givens, solve for power using the equation:

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

Power absorbed by a resistive element:

$$$P=VI=\frac{V^{2}}{R}=I^2R$$$

where $$V$$ is voltage, $$I$$ is current, and $$R$$ is resistance.

Solving for Power using the problem statement’s knowns:

$$$P=\frac{V^{2}}{R}=\frac{60^{2}}{10}$$$

$$$P=\frac{3600}{10}=360\:W$$$

360 W

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