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Q.

The electric potential V at any point (x,y,z)  in space is given by V=4 x2  volt. The electric field at (1,0,2) m  in Vm−1  is

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a

8, along neg. X-axis

b

8, along pos. X-axis

c

16, along neg. X-axis

d

16, along pos. Z-axis.

answer is A.

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Detailed Solution

E=−dVdr=−ddx(4 x2)=−8 x    =−8(1)=−8  V m−1Negative sign indicates E→  is along negative direction of X-axis.
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The electric potential V at any point (x,y,z)  in space is given by V=4 x2  volt. The electric field at (1,0,2) m  in Vm−1  is