Question

Determine the magnitude of the electric field at the point P. Express your answer in terms of Q, x, a, and k. Express your answer in terms of the variables Q, x, a, k, and appropriate constants.

Answer 1

Complete Question

The question image is in the first uploaded image

Answer:

$E=\frac{KQ*4xa}{(x^2-a^2)^2}$

Explanation:

From the question we are told that

Distance b/w Q mid point and P is given as x

Generally the equation for magnitude of the electric field at the point P is given as

$E=\frac{kQ}{d^2}$

where

$k=\frac{1}{4\pi e_0}$

$d=x^2-a^2$

Therefore

$E= \frac{1}{4\pi e_0} \frac{Q}{(x^2-a^2)^2}- \frac{1}{4\pi e_0} \frac{Q}{(x^2+a^2)^2}$

$E= \frac{Q}{4\pi e_0} (\frac{1}{(x^2-a^2)^2}- \frac{1}{(x^2+a^2)^2})$

Therefore equation for magnitude of the electric field at the point P is

$E=\frac{KQ*4xa}{(x^2-a^2)^2}$