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Ten charges are placed on the circumference of a circle of radius \( \mathrm{R} \) with constant angular separation betw…

Q1

Ten charges are placed on the circumference of a circle of radius \( \mathrm{R} \) with constant angular separation between successive charges. Alternate charges \( 1,3,5,7,9 \) have charge \( (+q) \) each, while \( 2,4,6,8,10 \) have charge \( (-q) \) each. The potential \( \mathrm{V} \) and the electric field \( \mathrm{E} \) at the centre of the circle are respectively.

(Take \( \mathrm{V}=0 \) at infinity)

a

\( \mathrm{V}=0 ; \mathrm{E}=0 \)

b

\( \mathrm{V}=\frac{10 \mathrm{q}}{4 \pi \varepsilon_{0} \mathrm{R}} ; \mathrm{E}=\frac{10 \mathrm{q}}{4 \pi \varepsilon_{0} \mathrm{R}^{2}} \)

c

\( V=\frac{10 q}{4 \pi \varepsilon_{0} R}=E=0 \)

d

\( V=0 ; E=\frac{10 q}{4 \pi \varepsilon_{0} R^{2}} \)

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