Potential Gradient and Relation between Electric Field and Potential
The electric ...
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 :
A
8 along positive X-axis
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B
16 along negative X-axis
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C
16 along positive X-axis
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D
8 along negative X-axis
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Solution
The correct option is D 8 along negative X-axis As V=4x2, so the electric field→E=−dVdx^i=−8x^i At (1,0,2),→E=8(1)(−^i)=8(−^i) Ans: (D)