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 :

8 along positive X-axis

16 along negative X-axis

16 along positive X-axis

8 along negative X-axis

A

8 along positive X-axis

B

16 along positive X-axis

C

16 along negative X-axis

D

8 along negative X-axis

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Solution

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As V=4x2, so the electric field→E=−dVdx^i=−8x^i At (1,0,2),→E=8(1)(−^i)=8(−^i) Ans: (D)

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