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Principle of Superposition

Five charges ...

Question

Five charges of equal values placed at corners of a regular pentagon of side 'a'. The force on $q_{0}$ which is placed at centroid 'O' is?

zero

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\frac{2 k Q q_{0}}{r_{2}}

, along OE

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\frac{2 k Q q_{0}}{r_{2}}

, along EO

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\frac{k Q q_{0}}{r_{2}}

, along OE

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Solution

The correct option is A zero
$t h e f o r c e s d u e t o e a c h c h a r g e Q c a n c e l e a c h o t h e r d u e t o s y m m e t r y t h e r e f o r e n e t f o r c e o n q_{o} i s Z e r o S o o p t i o n A i s c o r r e c t$

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