A charge q1 = +4.00 nC is placed at the origin of an xy-coordinate system, and a

Question

A charge q1 = +4.00 nC is placed at the origin of an xy-coordinate system, and a charge q2 = -1.00 nC is placed on the positive x-axis at x = 4.00 cm. (a) If a third charge q3 = +6.00 nC is now placed at the point x = 4.00 cm, y = 3.00 cm, find the x- and y-components of the total force exerted on this charge by the other two.

-------------N(x-component)

-------------N(y-component)

B. Find the magnitude and direction of the this force.

---------N

---------degrees(counterclockwise from the x-axis)

Explanation / Answer

F31 = kq1 q3/r²

F31 = (9 * 10^9)(4 * 10^(-9))(6 * 10^(-9))/(5)² {4/5,3/5}

F31 = {0.691 * 10^(-8), 0.518 *10^(-9)} N




F32 = kq2 q3/r²

F32 = (9 * 10^9)(1* 10^(-9))(6 * 10^(-9))/(3²) {0,-1}

F32 = {0, - 6 *10^(-8)} N

R = F31 + F32

R = {0.691 * 10^(-8), 0.518 *10^(-8)}  + {0, -6 *10^(-8)}

R = {0.691 , -5.482} *10^(-8) N

X = 0.691 *10^(-8) N

Y = - 5.482 *10^(-8) N






(b)

|R|² = (0.691 *10^(-8))² + (-5.482*10^(-8))²

|R| = 5.5253 * 10^(-8) N




(c)

tan = -5.482/0.691 = - 7.93

= -82.81°

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