A uniform electric field is prevailing in the Y direction in a certain region. The coordinates of points A, B and C are (0, 0), (2, 0) and (0, 2) respectively. Which of the following alternatives is true for the potentials at these points?

Question

Accepted Answer

(1) V_A = V_B, V_A > V_C. Given: uniform field ⃗E = E ̂j with E > 0; A (0, 0), B (2, 0), C (0, 2). Idea: the potential falls along the field: V(y) = V₀ - Ey, and it does not depend on x. A and B both have y = 0, so they lie on the same equipotential plane: V_A = V_B. C is at y = 2, further along the field: V_C = V_A - 2E, so V_A > V_C. So V_A = V_B and V_A > V_C.

A uniform electric field is prevailing in the Y direction in a certain region. The coordinates of points A, B and C are (0, 0), (2, 0) and (0, 2) respectively. Which of the following alternatives is true for the potentials at these points?

Step-by-step solution

Why the other options are wrong