Custom PC
During an intense video game session, a custom computer produces 1,000 W of heat. If it is drawing 5 A of current, what is the total resistance (Ω) of all its internal components?
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 current using the equation:
$$$P=I^2R$$$
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:
$$$P=I^2R\to 1,000W=(5A)^2\times R$$$
$$$R= \frac{1,000W}{25A}=40\:\Omega$$$
40 Ω
Time Analysis
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