Question

Show detailed solution k = 9 Times 10^9 Nm^2/C^2, e = plusminus 1.602 Times 10^-29 C, F = qE ; E = kq/r^2, F = q_1q_2/r^2 2) In the diagram below, the charges have values: q1 = +7 nC, q2 = -9nC, q3 = -5nC a) Draw a vector diagram showing the forces that q1 and q2 exert on charge q3 b) Calculate the magnitude and direction of the force on q3 due to q1 c) Calculate the magnitude and direction of the force on q3 due to q2 d) Combine the two forces and determine the total force on the charge q3 e) Calculate the direction of the force on q3

Answer 1

a)

agram below, the Clai ge a 23 3 13 5.0 cm q1 8.0 cm 2

Sorry for the design. I know I should refine a bit, but the time is much more important (for me) than such a detail.

b)

F₁₃=kq₁q₃/r₁₃²

F₁₃~3.54*10^-9 N

c)

F₂₃=kq₂q₃/r₂₃²

F₂₃=16.2*10^-9 N

d)

Ox: Rx=F_13x=F₁₃cos(alpha)~3.002*10^-9 N

Oy: Ry=F₂₃-F_13y=F₂₃-F₁₃sin(alpha)~14.324*10^-9 N

With:

cos(alpha)=0.848

sin(alpha)=0.53

$R=\sqrt{R_{x}^{2}+R_{y}^{2}}$

R~14.635*10-9 N.

e)

The angle between R and Ox axis is: tan(beta)=R_y/R_x ---> beta~-78.16 deg.

If counterclockwise from Ox: ~101.84 deg.

Please, check the numerical calculation.