Toaster Oven Resistor

#439 / Electrical & Computer Engineering Easy

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

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