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Question

The electric potential V at any point (x, y, z), all in meters in space is given by V=4x2 volt. The electric field at the point (1, 0, 2) in volt/meter is :
  1. 8 along positive X-axis
  2. 16 along negative X-axis
  3. 16 along positive X-axis
  4. 8 along negative X-axis

A
16 along positive X-axis
B
8 along negative X-axis
C
8 along positive X-axis
D
16 along negative X-axis
Solution
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As V=4x2, so the electric fieldE=dVdx^i=8x^i
At (1,0,2),E=8(1)(^i)=8(^i)
Ans: (D)

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