SHOW SOLUTION:
1. Compute the resistance of a conductor given a resistivity of 10.4Ωm, length of 4m, and a diameter of 20mm.
2. A length of a gold wire (α = 3.4 x 10^
-3) has a resistance of 10 ohms at 25 degrees Celsius. Calculate resistance if the temperature rises to 90 degrees Celsius.
1.
"R=\\rho\\frac{l}{A}=10.4*\\frac{4}{3.14*0.01^2}=1.32*10^5\\:\\Omega"2.
"R(t_2)=R(t_1)(1+\\alpha(t_2-t_1))\\\\\n=10*(1+3.4*10^{-3}*(90-25))=12\\:\\Omega"
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