First slide

Motion of charged particle in uniform electric field

Question

An electric field E = $x \hat{i}$ exist in space. Find work done to move 2C charge particle from A (0, 0) to B (2, 2).

Moderate

A

4 J
B

2 J
C

-2 J
D

-4 J

Solution

$\begin{array}{l} E = x i \\ q = \int_{0}^{x_{1}} F d x = \int_{0}^{2} q x d x = {|q \frac{x^{2}}{2}|}_{0}^{2} \\ = 2 \frac{1}{2} [4 - 0] = 4 J \end{array}$

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