Question

A typical American family uses 1000 kWh of electricity pro 30 days.

What is the average RMS current in the 160 V power line to the house?

Answer 1

Voltage, \(V_{\text {rwe }}=160 \mathrm{~V}\)

Family consumes \(1000 \mathrm{kWh}\) in 30 days.

Calculate the average power consumption in one hour.

$$ \begin{aligned} P_{c n g} &=\frac{1000}{30 \times 24} \\ &=1.3889 \mathrm{~kW} \end{aligned} $$

Calculate average power.

\(P_{\text {ang }}=V_{\text {nwe }} \times I_{\text {rims }}\)

Calculate \(\mathrm{rm}\) s current.

Substitute the values.

$$ \begin{aligned} I_{n+5} &=\frac{1.3889 \times 10^{3}}{160} \\ &=8.68 \mathrm{~A} \end{aligned} $$

Hence, the \(\mathrm{rm}\) s current is \(8.68 \mathrm{~A}\)