A Copper wire has a shape given by a radius that increases as R(x)= aex+ b. Its initial radius is .45 mm and final radius is 9.67 mm and its horizontal length is 38 cm. Find its resistance.
R = pL/A where p = resistivity of copper
A = ∏r2
L = length of copper wire
resistivity of copper = 1.7 x 10-8
1/Rtotal = 1/Rinitial + 1/Rfinal
The Attempt at a Solution
My attempt at the solution was finding the resistance of the wire when the radius is initially at .45 mm and then finding the resistance of the wire at 9.67 mm using the formula R = pL/A. Then I tried adding those resistances together by using the Resistance formula for parallel circuits which is 1/Rtotal = 1/Rinitial + 1/Rfinal