Solve.
-At a fixed temperature, the resistance R of a wire varies directly as the length l and inversely as the square of its diameter d. If the resistance is 0.84 ohm when the diameter is 1 mm and the length is 210 cm, what is the
Resistance when the diameter is 2 mm and the length is 530 cm?
A) 0.53 ohm
B) 111.3 ohm
C) 1.06 ohm
D) 132.5 ohm

Question

Quizplus · Accepted Answer

The resistance R is given by the formula R = k * (l/d^2), where k is a constant. First, find k using the given values: 0.84 = k * (210/1^2). Solving gives k = 0.004. Then, use this k to find the new resistance: R = 0.004 * (530/2^2) = 0.53 ohm.

Solve. -At a Fixed Temperature, the Resistance R of a Wire