Question

An electrical space heater has a resistance of 62 Ω and draws 3.51 A of current. How much power does it use?

Answer 1

763.84 Watts

Explanation

that for a given resistance the power depends on the current squared, we can use the expression

$\begin{gathered} P=I^2R \\ \text{where P is the power} \\ I\text{ is the current} \\ R\text{ is the resistence} \end{gathered}$

then

Let

$\begin{gathered} R=\text{resistance}=\text{ 65 ohm} \\ I=3.51\text{ A} \end{gathered}$

now, replace in the expression

$\begin{gathered} P=I^2R \\ P=(3.51A)^2\cdot62\text{ ohm} \\ P=763.84\text{ Watts} \end{gathered}$

therefore, the answer is

763.84 Watts

I hope this helps you