Toaster Oven Resistor
Consider a 30 V toaster oven consumes 300 W of power. What ohm resistor is it installed with?
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 resistance 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 Resistance using the problem statement’s knowns:
$$$P=\frac{V^{2}}{R}=\frac{30^{2}}{R}=300$$$
$$$R=\frac{900}{300}=3\:\Omega $$$
3 Ω
Time Analysis
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