Question

In: Physics

Three point charges are positioned on the x -axis: +99.0 ? C at x = 0.00...

Three point charges are positioned on the x -axis: +99.0 ? C at x = 0.00 cm, +89.0 ? C at x = 65.0 cm, and -26.0 ? C at x= 15.0 cm. What is the magnitude of the electrostatic force acting on the +99.0

Solutions

Expert Solution

Charges and their positions:

q1 = 99 * 10-6 C             at             x1 = 0 cm

q2 = 89 * 10-6 C             at             x2 = 65 cm = 0.65 m

q3 = -26 * 10-6 C            at             x3 = 15 cm = 0.15 m

k = 8.99 * 109 Nm2 / C2 is the Coulomb's force constant.

X component of the electric force acting on q1 is,

Fx = kq1q2 cos 180 / x22 + kq1q3 cos 0/ x32       

Fx = - 8.99 * 109 * 99 * 10-6 * 89 * 10-6 / (0.65)2 + 8.99 * 109 * 99 * 10-6 * 26 * 10-6 / (0.15)2

Fx = 840.974 N

Since the charges are aligned on the x - axis, there is no Y component of the force and magnitude of the force F is,

F = Fx

F = 840.974 N


Related Solutions

Three point charges are aligned along the x axis.Three point charges lie along the x-axis in...
Three point charges are aligned along the x axis.Three point charges lie along the x-axis in the x y coordinate plane. A charge of −4.00 nC is 0.500 m to the left of the origin. A charge of 5.00 nC is at the origin. A charge of 3.00 nC is 0.800 m to the right of the origin. Find the electric field (in N/C) at the following positions. (a)    (4.00, 0) (b)    (0, 4.00)
3. Two 2.20-?C point charges are located on the x axis. One is at x =...
3. Two 2.20-?C point charges are located on the x axis. One is at x = 1.57 m, and the other at x = -1.57 m. Determine the magnitude of the electric field on the y axis at y = 0.530 m. Answer in units of N/C. 4.Three identical point charges of charge q = 7.3 ?C are placed at the vertices (corners) of an equilateral triangle. If the side of triangle is a = 5.2m, what is the magnitude,...
Three point charges are on the x-axis: q1 at the origin, q2 at 3 m, and...
Three point charges are on the x-axis: q1 at the origin, q2 at 3 m, and q3 at 7 m. A) Find the potential at the point (0, 4 m) if q1 = q2 = q3 = 2 µC. The Coulomb constant is 8.99 × 109 N · m2 /C 2 Answer in units of kV. B) Find the potential at the point (0, 4 m) if q1 = q2 = 2 µC and q3 = −2 µC . Answer...
Three point charges are placed on the x-axis. A charge of +2.0 μC is placed at...
Three point charges are placed on the x-axis. A charge of +2.0 μC is placed at the origin, -2.0 μC to the right at x = 50 cm, and +4.0 μC at the 100 cm mark. What are the magnitude and direction of the electrostatic force which acts on the charge at the origin?
Two point charges lie on the x axis. A charge of -2.3 x 10-6 C is...
Two point charges lie on the x axis. A charge of -2.3 x 10-6 C is at x=-5 cm, and a charge of +9.2 x 10-6 C is at x=12 cm. At what position x would a third positive charge be in equilibrium?
Two 53.0 x 10-9 C point charges are located on the x axis. One is at...
Two 53.0 x 10-9 C point charges are located on the x axis. One is at x = 0.35 m, and the other at x = - 0.35 m. a) A third identical charge is placed on the y axis at y = 0.35 m. Find the magnitude of the force acting on this third charge? Answer in Newtons. b) Now the third identical charge is placed on the y axis at y = 2 x 0.35 m. Find the...
Two 45.0 x 10-9 C point charges are located on the x axis. One is at...
Two 45.0 x 10-9 C point charges are located on the x axis. One is at x = 0.25 m, and the other at x = - 0.25 m. a) A third identical charge is placed on the y axis at y = 0.25 m. Find the magnitude of the force acting on this third charge? Answer in Newtons. b) Now the third identical charge is placed on the y axis at y = 2 x 0.25 m. Find the...
Two point charges, Q1 = 3.3?C and Q2 = -1.5?C ,are placed on the x axis....
Two point charges, Q1 = 3.3?C and Q2 = -1.5?C ,are placed on the x axis. Suppose that Q2 is placed at the origin, and Q1 is placed at the coordinatex1 = ? 6.0cm (Figure 1) . Part A: At what point(s) along the x axis is the electric field zero? Determine the x-coordinate(s) of the point(s). Express your answer using two significant figures. If there is more than one answer, enter your answers in ascending order separated by commas....
Three point charges are located on the positive x-axis of a coordinate system. Charge q1 =...
Three point charges are located on the positive x-axis of a coordinate system. Charge q1 = 2.0 nC is 2.0 cm from the origin, charge q2 = -4.0 nC is 4.0 cm from the origin and charge q3 = 4.0 nC located at the origin. A. What is the magnitude of the net force exerted by the other two charges on charge q1 = 2.0 nC? Express your answer in newtons. B.What is the direction of the net force exerted...
Three point charges are located on the positive x-axis of a coordinate system. Charge q1 =...
Three point charges are located on the positive x-axis of a coordinate system. Charge q1 = 2.0 nC is 2.0 cm from the origin, charge q2 = -4.0 nC is 4.0 cm from the origin and charge q3 = 4.5 nC located at the origin. What is the net force ((a)magnitude and (b) direction) on charge q1 = 2.0 nC exerted by the other two charges?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT