Atypical american family uses 1000 kwh of electricity a month.

what is the average rms current in the 120 v power line to the house?

on average, what is the resistance of a household?

Given the data in the question;

Electricity used;

Time;

Voltage;  

Calculate the average rms current to the house.

First we determine the power

Power is the amount of energy transferred per unit time:

So we substitute in our values

Next we Calculate the Current

From Ohms Law:

We substitute in our values

Therefore, the average rms current in the power line to the house is 12A

The resistance of a household

From Ohm's Law:

We substitute in our values

Therefore, The average resistance of a household is 10Ω.

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1. 16.3 A

To calculate the average rms current, we have to calculate the average rms current first. The peak voltage of the power line is Vp = 120 V, so the rms voltage is

The family uses 1000 kWh of energy per month. Since

1 kW = 1000 W

1 h = 3600 s

This energy corresponds to

The time interval considered is 1 month, which corresponds to

And the power is the ratio between the energy used and the time taken:

And now we can find the average rms current by using the relationship between power, voltage and current:

2.

The average resistance of the household can be calculated by using Ohm's law. Using the value found for the rms voltage and the rms current, we find