There is a 120 V circuit in a house that is a dedicated line for the dishwasher, meaning the dishwasher is the only resistor on that circuit line. If the dishwasher draws 18 A of electricity, what would the resistance of the dishwasher be? Round the answer to the nearest hundredth of an ohm.

Answer 1

To find the resistance of the dishwasher, we can use Ohm's Law, which is given by the formula:

\[ V = I \times R \]

where:

• \( V \) is the voltage (in volts),
• \( I \) is the current (in amperes),
• \( R \) is the resistance (in ohms).

We can rearrange this formula to solve for resistance (\( R \)):

\[ R = \frac{V}{I} \]

Given:

• \( V = 120 \) V,
• \( I = 18 \) A,

we can substitute these values into the formula:

\[ R = \frac{120 , \text{V}}{18 , \text{A}} \]

Calculating this gives:

\[ R = \frac{120}{18} \approx 6.6667 , \text{ohms} \]

Rounding this to the nearest hundredth, we get:

\[ R \approx 6.67 , \text{ohms} \]

Thus, the resistance of the dishwasher is approximately 6.67 ohms.