Question

What voltage is delivered to a 120-volt/5,000-watt load that is fed with #10 awg wire (1.24 ohms/1,000 feet) and located 750 feet from the 120-volt source? (round the final answer to two decimal places.)?

Answer 1

Answer:

It is given that power = 5000 W for 120 V and resistance is $1.24\Omega$ per 1000 ft of wire. The wire is 750 ft away from 120 V source. We need find the voltage delivered to this load.

$Power, P=Voltage(E)\times Current(I)$

$\Rightarrow I=\frac{P}{E}=\frac{5000W}{120V}=41.67 A$

Resistance of 750 ft wire, =$R=\frac{1.24\Omega}{1000 ft}\times750 ft=0.93\Omega$

Using Ohm's Law:

Voltage delivered to the load, $V=IR$

$\Rightarrow V=41.67A\times0.93\Omega=38.75 V$