Question

Two charges are located on the x-axis. A 22... Two charges are located on the X-axis. A 22 μC charge is located at the origin and a 47 μC charge is located at x = 4.0 m. What is the electric field at x = 3.00 m² Multiple Choice Ο 4.5 * 105 N/C in the positive x-direction Ο 4.9 x 105 N/C in the negative x-direction Ο 4.0*105 N/C in the negative x-direction Ο 4.9 * 105 N/C in the positive x-direction Ο 6.3 * 105 N/C in the negative x-direction

Answer 1

From charge Q1

$\vec{E_1}=\frac{KQ_1}{x_1^2}\hat{x}$

where x1 distance between point of intrest and Q1=3m

and due to charge Q2

$\vec{E_2}=-\frac{KQ_2}{x_2^2}\hat{x}$

similarly x2 distance beween point and Q2=1m

so puttong values we get

$\vec{E_1}=22000\hat{x}$

and

$\vec{E_2}=-423000\hat{x}$

so net field is

$\vec{E}=22000\hat{x}-423000\hat{x}$

$\vec{E}=-401000\hat{x}$

so option c)