## 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**

**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**

**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

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