Question Detail

PHY 102 Last Minute Prep Objective Question

Question

An electrostatic paint has a 200mm diameter metal sphere at a potential of 25KV that repels paint droplets onto a grounded object. What charge is on the sphere?
Options
A 2.78μC
B 27.8μC
C 0.278μC
Correct Answer
D 0.0278μC
Correct Answer

Option C is the correct answer.

Detailed Explanation

Q = CV = (4πε₀r)V = (4π × 8.85×10^-12 × 0.1) × 25,000 = 2.78×10^-7 C = 0.278μC.

Hint

Capacitance of a sphere is C = 4πε₀r.

Question Info