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.)?

Respuesta :

Answer:

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

[tex]Power, P=Voltage(E)\times Current(I)[/tex]

[tex]\Rightarrow I=\frac{P}{E}=\frac{5000W}{120V}=41.67 A[/tex]

Resistance of 750 ft wire, =[tex]R=\frac{1.24\Omega}{1000 ft}\times750 ft=0.93\Omega[/tex]

Using Ohm's Law:

Voltage delivered to the load, [tex]V=IR[/tex]

[tex]\Rightarrow V=41.67A\times0.93\Omega=38.75 V[/tex]