The electric field is E ⃗ \vec{E} E = √3 i ^ \hat{i} i ^ - j ^ \hat{j} j ^ V m⁻¹ at every point in space. Which diagram correctly represents the equipotential lines in the xy-plane?
Physics · Electrostatic
JEE Mains Advanced

Question

The electric field is E ⃗ \vec{E} E = √3 i ^ \hat{i} i ^ - j ^ \hat{j} j ^ ​ V m⁻¹ at every point in space. Which diagram correctly represents the equipotential lines in the xy-plane?

G1 Physics · Accepted Answer

Step 1: Electric field is perpendicular to equipotential surfaces and points from higher to lower potential: 𝐄 = -∇V. Step 2: Closer equipotential spacing means larger |E|; field-line density likewise represents field strength. Step 3: Read the relative spacing/direction from the figure. Final: Option C.

The electric field is E ⃗ \vec{E} E = √3 i ^ \hat{i} i ^ - j ^ \hat{j} j ^ ​ V m⁻¹ at every point in space. Which diagram correctly represents the equipotential lines in the xy-plane?

The electric field is E ⃗ \vec{E} E = √3 i ^ \hat{i} i ^ - j ^ \hat{j} j ^ V m⁻¹ at every point in space. Which diagram correctly represents the equipotential lines in the xy-plane?