The electric field in a region around the origin is given by E = C ( x î + y j),

Question

The electric field in a region around the origin is given by E =C(xî + yj), where C is aconstant. The equipotential surfaces are:

A)

concentric cylinders with axes along the z axis

B)

concentric cylinders with axes along the x axis

C)

concentric spheres centered at the origin

D)

planes parallel to the xy plane

E)

planes parallel to the yz plane

Explain your answer.

The electric field in a region around the origin is given by E =C(xî + yj), where C is aconstant. The equipotential surfaces are:

A)

concentric cylinders with axes along the z axis

B)

concentric cylinders with axes along the x axis

C)

concentric spheres centered at the origin

D)

planes parallel to the xy plane

E)

planes parallel to the yz plane

Explain your answer.

Explanation / Answer

Electric field lines and equipotential surfaces areperpendicular to each other.

Elelctric field lies in x-y plane.

So, equipotential surface is along perpendicular to x-yplane.i.e., along z-axis.

So, answer is concentric cylinders with axes along thez axis

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