Power
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
Time Analysis
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