Answered

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16. Raul is wiring a country residence. He'll have to run the wires 200 feet. If

he's using 14-gage copper, what will the voltage drop be when running a 1,265

W 115 V heater?

Sagot :

Lanuel

The voltage drop be when running this heater is 13.508 Volts.

Given the following data:

  • Length = 200 feet.
  • Type of wire = 14-gage copper.
  • Power = 1,265 Watts.
  • Voltage = 115 Volts.

To determine the voltage drop be when running this heater:

First of all, we would calculate the amount of current that is flowing through this heater.

How to calculate current.

Mathematically, current is given by this formula in accordance with Ohm's law:

[tex]I=\frac{P}{V}[/tex]

Where:

  • I is the current.
  • P is the power.
  • V is the voltage.

Substituting the given parameters into the formula, we have;

[tex]I=\frac{1265}{115}[/tex]

Current, I = 11 Amperes.

Note: The resistance of a 14-gage copper wire at 1000 feet is 3.07 Ohms.

For the voltage drop:

Mathematically, the voltage drop is given by this formula in accordance with Ohm's law:

[tex]V=IR\\\\V=2 \times length \times I \times \frac{R}{1000} \\ \\V=2 \times 200 \times 11 \times \frac{3.07}{1000}\\\\V=4400 \times 0.00307[/tex]

Voltage drop = 13.508 Volts.

Read more current here: https://brainly.com/question/25813707

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