The capacitance per unit length of a coaxial cable, made of two concentric cylinders, is 50 pF/m. What is the radius of the outer cylinder if the radius of the inner one is 1.0 mm?

Question

Quizplus · Accepted Answer

The capacitance per unit length of a coaxial cable is given by:C = (2πε)/(ln(b/a))where:C is the capacitance per unit lengthε is the permittivity of the material between the conductorsa is the radius of the inner conductorb is the radius of the outer conductorIn this problem, we are given that C = 50 pF/m and a = 1.0 mm. We can use the above equation to solve for b:50 pF/m = (2πε)/(ln(b/1.0 mm))Solving for b, we get:b = 3.0 mmTherefore, the radius of the outer cylinder is 3.0 mm.

The Capacitance Per Unit Length of a Coaxial Cable, Made