The electric potential V at any point (x,y,z), all in metres in space is given by V=4x² volt. The electric field at the point (1,0,2) in volt/meter, is

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Accepted Answer

(1) 8 along negative X-axis. Eₓ=-(∂ V)/(∂ x)=-8x; V does not depend on y or z, so E_y=E_z=0. At (1,0,2), x=1: Eₓ=-8 V/m. So the field is 8 V/m along the negative X-axis.

The electric potential V at any point (x,y,z), all in metres in space is given by V=4x² volt. The electric field at the point (1,0,2) in volt/meter, is

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Why the other options are wrong