A uniform electric field is prevailing in the X-direction in a certain region. The coordinates of points P, Q and R 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

(2) V_P>V_Q, V_P=V_R. Idea: in a uniform field the potential falls steadily in the direction of ⃗E and is constant on every plane perpendicular to it. The field is along +X, so V depends only on x: V(x)=V₀-Ex. P is at x=0 and Q at x=2, further along the field, so V_P>V_Q (by 2E). R is at x=0, on the same perpendicular line as P, so V_P=V_R. Therefore V_P>V_Q and V_P=V_R.

A uniform electric field is prevailing in the X-direction in a certain region. The coordinates of points P, Q and R 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