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Question

The electric potential V at any point O (x, y, z all in metres) in space is given by V=4x2 volt. The electric field at the point (1m, 0, 2m) in volt/metre is

A
8 along negative X- axis
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B
8 along positive X - axis
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C
16 along negative X - axis
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D
16 along positive Z - axis
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Solution

The correct option is A 8 along negative X- axis
The electric potential V (x,y,z) = 4x2 volt
Now E=(^iVx+^jVy+^kVz)
Now Vx=8x,Vy=0 and Vz=0,
Hence E,=8x^i so at point (1m, 0, 2m)
E=8^i volt/metre or 8 along negative X-axis

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