In the arrangement shown in the figure. Find the electric field al the location

Question

In the arrangement shown in the figure. Find the electric field al the location of charge what is the magnitude of the Coulomb force on y_4 ? Consider the configuration of point charges shown in the figure. Charge and charge Charges q_1 and q_2 generate an electric field at point P. Before you do any calculations, look at this Situation and tell me what you can about the sign of the x and y components of the field at point P. Calculate the electric field. E. at point P due to charges q_1 and q_1. What arc the strength and direction of the electric field 2.0 cm from a small glass bead that has been charged to 6.0 nC?

Explanation / Answer

(A)
X component will have a Positive sign, as it will point towards +ve x axis.
Y component will have a Negative sign, as it will point towards -ve y axis..

(B)
q1 = 1.0 uC @(-2,2)
q2 = 2.0 uC @(3,3)

r1 = sqrt(4^2 + 3^2) = 5 m
r2 = sqrt(1^2 + 4^2) = 4.12 m

Ex = k*q1/r1^2 * 4/5 + k*q2/r2^2 * 1/4.12
Ex = (8.9 * 10^9 * 1.0 * 10^-6) /5^2 * 4/5 - (8.9 * 10^9 * 2.0 * 10^-6) /4.12^2 * 1/4.12 i^ N/C
Ex = 30.27 i^ N/C

Ey =  - [k*q1/r1^2 * 3/5 + k*q2/r2^2 * 4/4.12] j^
Ey = - [(8.9 * 10^9 * 1.0 * 10^-6) /5^2 * 3/5 + (8.9 * 10^9 * 2.0 * 10^-6) /4.12^2 * 4/4.12 ] j^
Ey = - 1231.7 j^ N/C

Net Field, E = sqrt(1231.7^2 + 30.27^2)
E = 1232.1 N/C

(C)
F = q* E
F = 3.0 * 10^-6 * 1232.2 N
F = 3.69 * 10^-3 N

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