How Do You Calculate Voltage Drop Over Distance?

AI Thread Summary
To calculate the voltage drop over a distance of 75 meters with a wire resistance of 0.0055 ohms/m and a current of 2.5 amps, first determine the total resistance of the wire, which is 0.0055 ohms/m multiplied by 75 m, resulting in 0.4125 ohms. Using Ohm's Law (V=IR), the voltage drop across the wire is calculated as 0.4125 ohms multiplied by 2.5 amps, yielding a voltage drop of approximately 1.03125 volts. Consequently, the voltage applied to the apparatus will be the source voltage of 100 volts minus the voltage drop, resulting in about 98.96875 volts. This approach effectively isolates the wire's resistance to accurately determine the voltage drop and the voltage available to the apparatus. Understanding these calculations is essential for ensuring proper voltage supply to electrical devices.
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Homework Statement


Suppose you want to run some apparatus that is 75m from an electric outlet. Each of the wires connecting your apparatus to the 100V source has a resistance per unit length of 0.0055 ohms/m. If your apparatus draws 2.5 Amps, what will be the voltage drop across the connecting wires and what voltage will be applied to your apparatus?


Homework Equations


V=IR



The Attempt at a Solution



100=R x 2.5
So R= 40 Ohms

But don't know where to go from here!
 
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V=IR
100=R x 2.5
Careful with that formula! It must be applied consistently to one component. The 100 Volts appears across the combination of the wire and the apparatus. (You can treat the combination as one component "in a black box" and use 100 = R*2.5 to find the combined resistance of the wire and the apparatus. But that doesn't do you much good.)

Better to begin by figuring out the resistance of the wire from the other information given (resistance per m of length). Then apply the formula to the wire only and find the voltage across the wire only, answering the first question.
 

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