Question

Two similar conducting spheres having charge + q and – q are placed at 'd' separation from each other in air. The radius of each ball is r and the separation between their centre is d (d >> r). Calculate the capacitance of the two ball system –

• A. 4πε₀r
• B. 2πε₀r
• C. 4 πlog_e
• D. 4πlog_e

Answer 1

Answer: (B)

2πε₀r

Answer 2

Step I :

Step II : V_A – V_B = –= $\frac { 2 \mathrm { Kq } } { \mathrm { r } }$

Step III : C = –= 2πε₀r