Question

27 small drops each having charge q and radius r coalesce to form big drop. How many times charge and capacitance will become?

• A. 3, 27
• B. 27, 3
• C. 27, 27
• D. 3, 3

Answer 1

Answer: (B)

27, 3

Answer 2

q' = Nq = 27 q ; $\frac { 4 } { 3 }$pR³ = N × $\frac { 4 } { 3 }$pr³

R = N^1/3 r Ž 4pe₀R = N^1/3 4pe₀r

C_Bigger=N^1/3 C_smaller = (27)^1/3 × C_smaller = 3 C_smaller