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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.

Respuesta :

The answer is 
6.67 Ohms (I tried to find the ohms sign but it looks like the lululemon logo)

Answer : Resistance of the dishwasher is 6.67 ohms.

Explanation :

It is given that,

Total voltage flowing in a house, V = 120 V

Current flowing, I = 18 A

According to Ohm's law :

V = I R ...........(1)

R is the resistance of the circuit.

Putting all values in (1) we get :

[tex]R=\dfrac{V}{I}[/tex]

[tex]R=\dfrac{120\ V}{18\ A}[/tex]

[tex]R=6.666\ \Omega[/tex]

or

[tex]R=6.67\ \Omega[/tex]

So, the resistance of the dishwasher is [tex]R=6.67\ \Omega[/tex].