Ten charges are placed on the circumference of a circle of radius 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 V and the electric field E at the centre of the circle are respectively. (Take$$ V $$=$$ $$0$$ at $$infinity)

Question

Ten charges are placed on the circumference of a circle of radius 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 V and the electric field E at the centre of the circle are respectively.  (Take$$ V $$=$$ $$0$$ at $$infinity)

Infinity Learn · Accepted Answer

Potential at point C  Potential is scalar quantity. $$Vc=5kqr+5k$$−$$qr=0Electric$$ field at C Field is vector quantity. E→$$C=E$$→ due $$to+qs+E$$→ due to−$$qs=$$ $$0+0$$     from symmetry

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