Consider the following figure. (The four charges are at the corners of a square. Take q = 1.02 μC and Q = 2.03 µμC.) 9₂=Q IF 10,0 cm 94-Q 9₁=9 93 -9 (a) In the figure, what are the magnitude and direction of the resultant force on q₁? (Take q₁ as the origin of the coordinate system and measure the angle counterclockwise from the positive x-axis, which is directed towards the right.) magnitude direction (b) What is the resultant force on the center of mass of the four charges?

Three point charges are located along the x-axis. Point Charge q1 = +3.5x10-6 C is at x=0, point charge q2 = +8.5x10-6 C is at x=2 m, and point charge q3 = -5x10-6 C is at x=3 m. Find the resultant electric force acting on q3.

Consider the following figure. (The four charges are at the corners of a square. Take q = 1.08 µC and Q = 1.83 µC.)   (a) In the figure, what are the magnitude and direction of the resultant force on q1? (Take q1 as the origin of the coordinate system and measure the angle counterclockwise from the positive x-axis, which is directed towards the right.) magnitude   direction   ° (b) What is the resultant force on the center of mass of the four charges?

Three charges are arranged as shown below: 9₁ = 22 µC is at the origin, q2 = -10 µC is at a distance of b = 0.55 m along the vertical axis, and q3 = 16 µC is at a distance of a 0.4 m along the horizontal axis. Find the forces exerted on 9₁ by 92, by 93 and by 92 and q3 together (the net force). = b 92 91 a 93 = The magnitude of the force on q₁ due 92, F12: The direction of the force on q₁ due q2 is Select an answer The magnitude of the force on 9₁ due 93, F13 = The direction of the force on 9₁ due q3 is Select an answer ✓ The magnitude of the net force on 9₁, F1, Net The direction of the net force on q₁ is Select an answer ✓ Units Select an answer ✓ Units Select an answer ✓ Units Select an answer ✓

Four identical charged particles (q = +10.4 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 61.2 cm and W = 15.7 cm. (a) Calculate the magnitude of the total electric force exerted on the charge at the lower left corner by the other three charges. N(b) Calculate the direction of the total electric force exerted on the charge at the lower left corner by the other three charges. ° (counterclockwise from the +x-axis)

Three charges q1, q, and q2 are in a line. If q = 5.0 μC and d = 30 cm, then what is the magnitude and direction of the electric force acts on the charge q.   Known : Charge 1 (q1) = 30 μC = 30 x 10-6 C Charge 2 (q2) = 60 μC = 60 x 10-6 C Charge 3 (q) = 5 μC = 5 x 10-6 C Distance between q1 and q = d Distance between q2 and q = 2d d = 30 cm = 0.3 meters d2 = (0.3)2 = 0.09 meters Coulomb’s constant (k) = 9 x 109 N m2 C-2

Three charges are located as shown in the figure, with values q1 = 3.1 × 10-16 C, q2 = -1.9 × 10-16 C, q3 = 6.25 × 10-16 C. The charges are separated by d1 = 2.3 × 10-6 m and d2 = 2.5 × 10-6 m. Part (a)  What is the force of q2 on q1 in the x direction, Fx? Give your answer in newtons, and recall k = 8.988 × 109 N m2/C2.  Part (b)  What is the force of q3 on q1 in the y direction, Fy? Give your answer in newtons.

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Two positive charges of magnitude 8.5 x 10-6 C each experience a repulsive electric force of magnitude 500 N. Calculate the distance between the two charges.(Give your answer in meters.)

Two point charges each with 0.15 CC of charge are 5.0×10−2 mm apart. Knowing that k is 9×10^9N⋅m^2/C  (the proportionality constant for Coulomb's law), find the force between the charges. Express your answer to two significant figures and include the appropriate units.