Two equal positive charges of magnitude q 1 = q 2 = 2 nC are on the y axis at y

Question

Two equal positive charges of magnitude q1 = q2 = 2 nC are on the y axis at y1 = +3 cm and y2 = -3 cm.

a) What is the magnitude and direction of the electric field on the x axis at x = 3 cm?

b) What is the force exerted on a third charge q0 = 5  nC when it is placed on the x axis at x = 3 cm?

Two equal positive charges of magnitude q1 = q2 = 2 nC are on the y axis at y1 = + 3 cm and y2 = - 3 cm. What is the magnitude and direction of the electric field on the x axis at x = 3 cm? ??? N/C + ??? N/C What is the force exerted on a third charge q0 = 5 nC when it is placed on the x axis at x = 3 cm? ??? N/C + ??? N/C

Explanation / Answer

a)

E = E1 + E2

y-components gets cancelled

E = 2E1cos(theta)

E = 2*k*q / 2*(0.03)^2 * 1/sqrt(2)

E = 2*9*10^9*2*10^-9 / 2*sqrt(2)*(0.03)^2 = 14142.135 N/C

b)

F = Eq

F = 14142.135 * 5 * 10^-9 = 70.7 * 10^-6 N

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