Question

While cooking dinner, Dinah's oven uses a 121.7 V line and draws 5.7 A of current when heated to its maximum temperature. What is the resistance of the oven when it's fully heated?

Answer 1

Given,

The supply voltage, V=121.7 V

The current drawn by the oven, I=5.7 A

From Ohm's law, the voltage across a load is directly proportional to the current through the load.

Thus the voltage across the oven is given by,

$V=IR$

Where R is the resistance of the oven when it is heated to the maximum temperature.

On rearranging the above equation,

$R=\frac{V}{I}$

On substituting the known values,

$\begin{gathered} R=\frac{121.7}{5.7} \\ =21.35\text{ }\Omega \end{gathered}$

Thus the resistance of the oven when it's fully heated is 21.35 Ω