Moderate# Capacitance of Closely-Spaced Nested Cylinders

EANDM-NWG7F8

Two metal cylinders of different radii are placed concentrically one inside the other. Each cylinder has a length $H = 2 \:\text {cm}$. The radius of the inner metal cylinder is $r_1=3.00 \:\text {cm}$ and the radius of the outer metal cylinder is $r_2 = 3.03 \:\text {cm}$. The space between the cylinders is filled with air.

Estimate the capacitance of the the nested metal cylinders. [Hint: Use the parallel plate capacitance formula.]