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If the electric field E = 0 at a point, the electric potential V may be zero, or may not be zero.

The relation between E and V (in one dimension) is, E = -dV/dx.
So, if E = 0, dV/dx = 0; For sure, it only means that the space rate of change of V is 0. Or V remains constant as x changes. Or we may say the potential V is constant or uniform in space. For this to be true V = 0 is a special case. That is V could be zero but not necessarily zero. V can have any positive or negative constant value as well.

2006-09-18 06:34:19 · answer #1 · answered by Entho 2 · 0 0

Not necessarily .Electric intensity may be zero even if electrostatic potential is constant .Electric intensity is E=-dV/dr,where 'dV' is the change in potential over a small distance 'dr' .If V is constant then V does not change that is dV is zero and E=0.

2006-09-18 01:08:49 · answer #2 · answered by wind 4 · 0 0

No.

electrostatic potential is the work done in bringing an unit positive charge from inf. to that point. So potential at a point will not be necessarily zero if intensity, i.e. electric force is zero at that point.

You can also see this from the fact that a constant potential gives zero field too.

2006-09-18 07:29:05 · answer #3 · answered by debraj_roy_dr 2 · 0 0

Both r uncorrelated coz electrostatic potential does not depend upon electrostatic Intensity.
Rather electrostatic Intensity and change (or difference or gradient) of electrostatic potential are correlated.

2006-09-18 12:40:40 · answer #4 · answered by simi 2 · 0 0

intensity is the change in the potential
i.e.
I = d(V)/dt
so if we have a constant value of petential then it is true that intensity will be 0
also 0 value of potential is possible only at infinity(assumed)
so intensity at infinity will be 0 as well

2006-09-17 22:12:18 · answer #5 · answered by mohit 2 · 0 0

Yes, electric pottential at a point is 0 if electric field intensity at that point is 0.

2006-09-17 22:07:46 · answer #6 · answered by dhawal d 2 · 0 0

NO .
on the equatorial line........... it happens contradicting ur question

2006-09-17 22:17:23 · answer #7 · answered by !kumar! 2 · 0 0

=You tell us

2006-09-17 22:07:34 · answer #8 · answered by Anonymous · 0 0

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