A 30 m long copper wire with diameter of 8.9 mm and with 59 mA (miliAmps) of current running through it. If The resistivity of copper at room temperature is 1.68×10-8 Ω ⋅ m, calculate the voltage drop across the wire multiplied by 10^3. (Express the answer in two decimal places).

V = 0.48 [V]

Explanation:

We can calculate the area of the cable using the following expression:

Now we can calculate the total resistance using the following equation:

Using the ohm law we know that the voltage is equal to the product of the current by the resistance, in this way we can calculate the voltage.

V = I * R

V = 0.059 * 0.008102

V = 0.48*10^(-3) [volt] * (10^3)

V = 0.48 [V]

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