Question

# The electric potential $$V$$ at any point $$\left(x, y, z\right)$$, all in meters, in space in given by $$V = 4{x}^{2} volt$$. The electric field at the point $$\left(1, 0, 2\right)$$ in $${volt}/{meter}$$ is :

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

Solution

## The correct option is B 8 along negative X-axis$$\vec { E } = -\displaystyle\frac { dV }{ dx } \hat { i }$$    $$= -8x \hat { i } { volt }/{ meter }$$$${ \vec { E } }_{ \left( 1,0,2 \right) } = -8 \hat { i } { V }/{ m }$$.PhysicsNCERTStandard XII

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