[35 points] Four point charges are located as

shown in the figure. Consider the

following values for the charges:

y [m]

Q₁

Q₁

Q₂

Q3

Q4

Q₁

Charge (C)

3x10-6

8x10-6

-2x 10-6

7x10-6

x [m]

Position (m)

(0; 7x102; 0)

(0; 0; 0)

(0; -7x10-²; 0)

(-7x10-²; 0; 0)

a. [10 points] Calculate the electric force applied

by charge Q₁ on charge Q₂.

F by Q₁ on 0: (

ĴON

b. [10 points] Calculate the electric force applied

by charge Q3 on charge Q2.

by Q₁ on Q₂ = ([

Ĵ)N

c. [10 points] Calculate the electric force applied

by charge Q4 on charge Q2-

Fby Q. on Q₂ =([

ĴON

d. [5 points] The total force on Q₂ is given by:

OF=F12+ F22 +F32 + F42

OFtotal = F12 + F32 + F42

OF total = F12+ F32 + F42