A 2.0 mm -diameter, 50 cm -long copper wire carries a 4.5 A current. What is...

A 2.0 mm -diameter, 50 cm -long copper wire carries a 4.5 A current. What is the potential difference between the ends of the wire?

Expert Solution

First find Resistance R = l / (A)

A = /4 (Diameter)² Diameter =2.0 cm = 0.02 meters

= /4 ( 0.02 )²

= 3.145 10^-4 m²

Resistivity of copper = 1.68 10^-8 Ohm-meter

l = length of wire in meters

R = l / (A) = 1.68 10^-8 0.5 / ( 3.145 10^-4)

= 2.671 10^-5 Ohms

Potential difference between the end of the wire V = I R

= 4.2 2.671 10^-5

V = 1.212 10^-4 volts

genius_generous answered 2 years ago

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