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Electricity

Cool goIITian

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16 May 2009 21:05:07 IST

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491

In a regular polygon of n sides , each corner is at a distance r from the centre . Identical charges

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In a regular polygon of n sides , each corner is at a distance r from the centre . Identical charges are placed at (n-1) corners . A t the centre, the intensity is E and the potential is V. The ratio V/E has magnitude ??

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Sujit

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Joined: 11 Mar 2009

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17 May 2009 07:55:04 IST

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if n is even

the ratio is

(n-1)r

in case of E...each charge electric field is cancelled by the diametrically opp charge...................only one charge's E wud not be cancelled

hence we get the result

Sujit

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17 May 2009 07:55:59 IST

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if ODD then i thnk i becomes a tough job to calculate the ratio

edison

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Joined: 19 Oct 2006

Posts: 7537

17 May 2009 17:46:09 IST

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We can make use of symmetry of the problem in finding electric field intensity at the center of regualr polygon

Thus due to 'n' charges kept at each corner electric field intensity at the cneter = 0

Now Electric field due to (n-1) charges = oppsite to the Eelectric field due to the charge at remaining one corner(nth corner).

Thus E = kQ/r²

Potential is a scalar quantity thus Electric potential V at the center = (n-1)kQ/r

So V/E = (n-1)r

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