Question

Equipotential surfaces associated with an electric field that is increasing in magnitude along the positive Y-direction are

• A. planes parallel to XY plane.
• B. planes parallel to YZ-plane.
• C. planes parallel to XZ-plane.
• D. planes parallel to Y-direction.

Hint:

Equipotential surfaces are always perpendicular to the electric field lines.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept
An equipotential surface is everywhere perpendicular to the electric field.

Step 2: Apply
The field is along the Y-axis, so the surfaces are perpendicular to Y. Planes of constant \(y\) are parallel to the XZ-plane.

Step 3: Role of increasing magnitude
The field growing along +Y only makes the planes closer together; it does not tilt them.

Final Answer:
The equipotential surfaces are planes parallel to the XZ-plane. \[ \boxed{\text{(C) }\text{planes parallel to XZ-plane}} \]