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Mr.IITIAN007 (3000)

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COMPREHENSION
n charges , all of same magnitude are placed at the n corners of a geometrical structure or object (eg.triangle,cuboid,tetrahedron,parallelogram etc.).At the centre of the structure potential is V and the field is E.It should be noted that n is ODD here.Answer the given questions.MORE THAN ONE CORRECT OPTIONS are there. 
<I>
(i) If V=0 then E0 or may be E=0
(ii) If V=0 then always E=0
(iii)If V=0 then always E0
(iv) If V0 then always E=0
(v) If V0 then always E0
(vi) If V0 then  E=0 or may be  E0
<II>
(i)If E=0 then V=0 or may be  V0
(ii)If E=0 then always V=0
(iii)If E=0 then always V0
(iv)If E then V=0 or may be V0
(v)If E0 then always V=0
(vi)If E0 then always V0
 
[ I have given more than 4 options to clear the concept.]

Ken
From: UNITED STATES, Green Bay, Wisconsin
    
edison (5140)

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Always use the fact that electric field is negative gradiant of electric potential.
 
or E = -  V = -dV/dx ....(for one dimensional)
 
and E = -dV/dx  i - -dV/dy j - -dV/dz k

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taruntanuj007 (247)

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sir but this law is valid only when we know that field creates a conservative force how do we decide that the eletric field cretaes conservative force or not!!!!i hope u understand wat i mean!!!Do reply sooon

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Mr.IITIAN007 (3000)

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I am sorry but the above explanations are irrelavant to my question .
I just want the correct answer to clear mine and other goiitian's concept.Just tell me the correct options.I have given a geometrical problem based on n as ODD because this involves a tricky concept.

Ken
From: UNITED STATES, Green Bay, Wisconsin
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Mr.IITIAN007 (3000)

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Hey can no one solve this!!!!!!Then what will happen in IIT JEE 2008.

Ken
From: UNITED STATES, Green Bay, Wisconsin
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amangem (804)

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field is conservative if it is created due to charges .
INDUCED electric field from magnetic field is non conservative

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robinphilip1989 (23)

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look if we take infinity as o potential then V is not 0 but field is 0
the problem can be solved by basic vector properties

rate the ans plz
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Mr.IITIAN007 (3000)

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Well you are absolutely right robinphilip.And amengem, well try.When n is ODD V can never be zero but E may or may not be zero.

Ken
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