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Electrostatic potential

Question

An electric field E=Axi^ exists in the space, where A =10 V/m2. Consider the potential at (10 m, 20 m) to be zero. The potential (in V) at the origin is ______

Moderate
Solution

Figure shows the situation described in question. Here BC is the equipotential line so we can use

VC=VB=0

If V0 be the potential at the origin, we can use

 V0VB=ABEdx=010Axdx V00=Ax22010=10×1022=500V



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