The resistance, R, of a wire varies directly as its length and inversely as the square of its diameter. If the resistance of a wire 3100ft long with a diameter of 0.13 inches is 18093 ohms,

Question

what is the resistance of 1600ft of the same type of wire with a diameter of 0.07 inches? (Leave k in fraction form or round to at least 3 decimal places. Round off your final answer to the nearest hundredth.)

Answer 1

R = kl/d²

18,093 = 3100k/.13²

18,093 = 3100k/.0169

305.7717 = 3100k

.099 = k

R = .099(1600)/.07²

R = 158.4/.0049

R = 32,326.53