Suppose you want to run some apparatus that is 95 m from an electric outlet. Each of the wires connecting your apparatus to the 120 v source has a resistance per unit length of .0065 ohms/m. If your apparatus draws 3.0 A what will be the voltage drop across the connecting wires and what voltage will be applied to your apparatus?

The total resistance of the power cord is

95*2*.0065 = 1.11 Ohms. Half of that occurs along one wire and the other along the return wire. (Two wires inside the power cord conduct the current back and forth; many power cords also have a third wire for grounding safety, but the third wire carries no current in proper operation). The total votage drop is V = IR = 3.3 Volts.

The voltage applied to the apparatus will be 120.0 - 3.3 = __ V

Shouldnt we multiply (95/2) by 2 in finding the total resistance.

I did multiply 95 m (the cord length) by 2 to get the total length of wire.

<<95*2*.0065 = 1.11 Ohms.>>

To calculate the voltage drop across the connecting wires and the voltage applied to your apparatus, we need to consider the total resistance of the wires.

The total resistance of the wires can be found by multiplying the resistance per unit length by the length of the wires. In this case, the length of the wires is given as 95 m and the resistance per unit length is given as 0.0065 ohms/m.

Total resistance of the wires = (Resistance per unit length) x (Length of wires)
= 0.0065 ohms/m x 95 m

Now, let's calculate the total resistance:

Total resistance of the wires = 0.0065 ohms/m x 95 m
= 0.6175 ohms

Since Ohm's Law states that V = I x R, where V is the voltage, I is the current, and R is the resistance, we can calculate the voltage drop across the wires using this formula.

Voltage drop across the wires = Current x Total resistance of the wires
= 3.0 A x 0.6175 ohms

Now, let's calculate the voltage drop:

Voltage drop across the wires = 3.0 A x 0.6175 ohms

Finally, to find the voltage applied to your apparatus (V_apparatus), we subtract the voltage drop across the wires from the source voltage (120 V).

V_apparatus = Source voltage - Voltage drop across the wires
= 120 V - (3.0 A x 0.6175 ohms)

This will give you the voltage that will be applied to your apparatus.