The field potential in the certain region of space depends only on the x-coordinate as V=−ax3+b , where a and b are constant. Choose the incorrect statement/s
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a
The electric flux through the spherical region radius R, whose centre lies at origin is zero
b
The total charge enclosed by the spherical region of radius R, whose centre lies at origin is zero
c
Field lines in the x-y plane must be represented by straight lines
d
Equipotential lines in the x-y plane must be parallel to x-axis
answer is D.
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Detailed Solution
ϕ=E→⋅ds→=3ax2i^⋅ds(xi^+yj^+zk^)R=3ax3Rds⇒ϕ=0;⇒q=0Electric field lines are straight lineEquipotential lines are parallel to y-axis