Question

64 identical balls made of conducting material each having a potential of 10 mV are joined to form a bigger ball. The potential of a bigger ball is?

Answer 1

Given:
Number of small balls = 64
Potential of each ball = 10 mV

Step 1: Relation for potential of a conducting sphere
V = kQ / R

Step 2: When identical spheres combine
Total charge Q ∝ number of spheres = 64
New radius R ∝ (number)^1/3 = 64^1/3 = 4

Step 3: New potential relation
V' ∝ Q / R = 64 / 4 = 16

Step 4: Final potential
V' = 16 × 10 mV = 160 mV

Final Answer: 160 mV