Question

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

Answer : The resistance of the dishwasher is
`R=6.67\ A`.

Explanation :

It is given that in a house there is only one resistor on the circuit line. There is a 120 V circuit in a house that is a dedicated line for the dishwasher. The dishwasher draws the current of 18 A of electricity.

Using Ohm's law in this circuit such that, V = I R

Where R is the resistance offered to the circuit.

So, using V and I in the equation of Ohm's law we get :

`R=(V)/(I)`

`R=6.67\ A`

Hence, this is the required solution.

Answer 2

The info given in the question:

Voltage= 120V

Current=18A

Now we have to find the resistance. To find it use the following formula:

V=IR

Now making R to be the subject of the formula

R=V/I

R=120/18

The answer is 6.67 ohms

As dishwasher is the only resistor in the line the voltage drop is going to be 120V. The resistance values determines the hindrance that is present in the circuit that opposes the free flowing electrons