What is the radius of a steel sphere having a capacitance of radius 1.5 pF?

Question

Quizplus · Accepted Answer

The capacitance of a sphere can be calculated by the formula:

C = 4πε₀r

where C is the capacitance, ε₀ is the permittivity of free space, and r is the radius of the sphere.

Rearranging the formula, we get:

r = C/(4πε₀)

Substituting the given values, we get:

r = 1.5 pF / (4π * 8.85 × 10^-12 F/m)

r ≈ 0.013 m

Therefore, the radius of the steel sphere is approximately 13 mm.

The correct answer is D.

What Is the Radius of a Steel Sphere Having a Capacitance