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Q.

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 ______

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answer is 500.

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Detailed Solution

Figure shows the situation described in question. Here BC is the equipotential line so we can useVC=VB=0If V0 be the potential at the origin, we can use V0−VB=∫AB Edx=∫010 Axdx⇒ V0−0=Ax22010=10×1022=500V
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