- #1

Ryan Sandoval

- 3

- 0

## Homework Statement

Written Problem: Summing the Electric Field Three point charges q1, q2, and q3 are placed along a straight vertical line to create a “tripole”. At point P, which is directly to the right of q1, the net electric field is exactly zero. We also know that q1 = 1 μC.

b) Write a expressions for the x and y components of the electric field at point P ONLY from q1.

c) Write a expressions for the x and y components of the electric field at point P ONLY from q2.

d) Write a expressions for the x and y components of the electric field at point P ONLY from q3.

e) Using the previous parts, and the fact that the Electric Field is zero at P, solve for both q2 and q3.

f) A charge of value q4 = 1 μC is placed at point P. What is the force on charge q4?

## Homework Equations

E[/B] = (kq/(r^2))

**r**

## The Attempt at a Solution

x = 0.01m , H = 0.03m , /r

_{2}

^{3}= 2.826(10^-6)m^2 ,/r

_{3}

^{3}= 3.1623(10^-5)m^2

**x**component of E = k[(q1/x^2) - (xq2/r

_{2}

^{3})+(xq3/r

_{3}

^{3})]=0

**y**component of E = k[(xq2/r

_{2}

^{3}) - (Hq3/r

_{3}

^{3})] = 0

To solve for q2 and q3 I set the two equations together, as well as solving for q2 and q3 and using substitution to find their values.

The most logical answers I found were

q2 = -0.042μC

q3 = 15.8 μC

Plugging in those values of q2 and q3 do not give me a net electric field of zero.

If anyone can confirm that my components are correct, and if they are it must just be my algebra. If not I need some assistance! Thank you