- #1

Cimino54

- 2

- 1

## Homework Statement

Four charges,

q1 = +145 µC, q2 = +55 µC, q3 = −150 µC, and q4 = +27 µC,

are fixed at the corners of a 4 m by 5 m rectangle, as illustrated in the figure below. What are the magnitude (in N) and the direction (in degrees counterclockwise from the +

*x*-axis) of the net force acting on

*q*1? (Assume the

*x*-axis extends from

*q*1 to the right.)

## Homework Equations

1. F

_{e}= (kq

_{1}q

_{2})/(r

^{2})

2. a

^{2}+ b

^{2}= c

^{2}

3. F

_{x}= Fsinθ

4. F

_{y}= Fcosθ

## The Attempt at a Solution

1. I determined the distance between charges 1/3 & 2/4 using Pythagorean theorem.

2. I solved for the forces between all charges using equation 1. I solved for the forces between 1/2, 3/4, 1/4, 2/3, 1/3, and 2/4.

3. I resolved forces 1/3 and 2/4 into x and y components using equations 3 & 4.

4. I add all x components together and all y components together.

5. I used equation 2 to get the overall magnitude of the x+y components.