Question

In: Physics

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?

Solutions

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


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