A. Find the direction and magnitude of the net electrostatic force exerted on th

Question

A. Find the direction and magnitude of the net electrostatic force exerted on the point charge

B. Find theta-  Express your answer using three significant figures.

Find the direction and magnitude of the net electrostatic force exerted on the point charge q2 in the figure.(Figure 1) Let q=+2.6?C and d=37cm. Express your answer using two significant figures. (unit of mesaure is in N) Find theta- Express your answer using three significant figures. Units for answer should be in: degrees counterclockwise from q2-q3 direction

Explanation / Answer

Electric field at q2 due to :

q1 = kq/d*d (up)

q3 = -3kq/d*d (right)

q4 = -4kq/sqrt(2d)*sqrt(2d) = -2kq/d*d (Along q2-q4)

q4 can be resolved as, -2*sqrt(2)*kq/d*d along right and down respectively.

So, net (right) = -5.828kq/d*d ... (x component)

net (up) = -1.828kq/d*d (y component)

E total = sqrt(x^2 + y^2) = 1.043*10^6 N/C

Angle = tan^-1(up/right) = 17.4 degree (clockwise from q2-q3, because tan inverse for negative x and y lie in 4th quadrant)

Force = E*q2 = -2.7 N

Angle will be opposite to that of electric field, because of negative sign.

Hence, Angle = 180-17.4 = 162.6 degree anticlockwise from q2-q3

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