139k views
5 votes
What is the resistance of a copper wire 200 ft long and
0.01 in. in diameter (T 20°C)?

1 Answer

7 votes

Answer:

R = 20.21 ohms

Step-by-step explanation:

Given that,

The length of the wire, l = 200 ft

The diameter of the wire, d = 0.01 in

Radius, r = 0.005 in

200 ft = 60.96 m

0.005 in = 0.000127 m

The resistivity of copper is,
\rho=1.68* 10^(-8)\ \Omega-m

So, the resistance of a wire is given by :


R=\rho (l)/(A)\\\\R=\rho (l)/(\pi r^2)\\\\R=1.68* 10^(-8)* (60.96 )/(\pi * (0.000127 )^2)\\\\R=20.21\ \Omega

So, the resistance of the copper wire is 20.21 ohms.

User Shubham Panchal
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.