Question

In Fig. 21-22, the particles have charges q1 -q,-182 nC and q,--q4-204 nC, and distance a 5.1 cm. Fig. 21-22 What are the a) x x Nand b) y N components of the net electrostatic force on particle 3?

In Fig. 21-22, the particles have charges q₁ = -q₂ = 182 nC and q₃ = -q₄ = 204 nC, and distance a = 5.1 cm.

What are the a) x ____N and b) y ____ N components of the net electrostatic force on particle 3?

Answer 1

Let us assume that point 0 is the origin of the x - y co-ordinate system . electric field at 3 due q_1, vec E_13 = q_1/4 pi 6 a^2 (hat - J) N/C electric field due to q_2 at 3, vec E_23 = q_2/4 pi elementof_0 (a - squareroot 2)^2 (- cos 45 degree hat i - sin 45 degree hat j) N/C electric field due to q_4 at 3, vec E_43 = q_4/4 pi elementof_0 a^2 (hat - i) N/C . \r\n Resultant electric field due to q_1, q_2, q_4 at point 3, vec E_3 = vec E_13 + vec E_13 + vec E_13 = q_1/4 pi elementof_0 a^2 (hat - j) + q_2/4 pi elementof_0 (a squareroot 2)^2 (- cos 45 hat i - sin 45 degree hat j) + q_4/4 pi elementof_0 a^2 (hat - I) = q_1