If on the x-axis electric potential decreases uniformly from 60 V to 20 V between x =-2 m to x =+2 m, then the magnitude of electric field at the origin

Question

If on the x-axis electric potential decreases uniformly from 60 V to 20 V between x =-2 m to x =+2 m, then the magnitude of electric field at the origin (A) Must be 10 V/m (B) May be greater than 10 V/m (C) Is zero (D) Is 5 V/m

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/e5de6767ce8bdbe24afeec8c349e5b31-.png" /> Ex=(40/4)=10 ( V / m ) Ey ≠ 0 E=√Ex2+Ey2>10

Q. If on the $x$ -axis electric potential decreases uniformly from $60 V$ to $20 V$ between $x = - 2 m$ to $x = + 2 m$ , then the magnitude of electric field at the origin

Must be 10 V/m

May be greater than 10 V/m

Is zero

Is 5 V/m

$E_{x} = \frac{40}{4} = 10 \frac{V}{m}$
$E_{y} \neq = 0$
$E = E_{x}^{2} + E_{y}^{2} > 10$

Q. If on the x-axis electric potential decreases uniformly from 60V to 20V between x=−2m to x=+2m, then the magnitude of electric field at the origin