Ten charges are placed on the circumference of a circle of radius R with constant angular separation between…

Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive charges. Alternate charges1,3,5,7,9 have charge (+q) each, while 2,4,6,8,10 have charge (q) each. The potential V and the electric field E at the centre of the circle are respectively : (TakeV=0 at infinity)
  1. V=10q4πϵ0R;E=0
  2. V=0,E=10q4πϵ0R2
  3.  V=0; E=0
  4. V=10q4πϵ0R;E=10q4πϵ0R2

Solution

vnet=5kqR+5k(-q)R
vnet=0, Qnet=0
Enet=0, by symmetry

Asked in: JEE Main 2020 (05 Sep Shift 2)

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