There are two charges q1 = 10 μC and q2 = 70 μC placed 0.5 m apart and fixed in place. q1 is on the left and q2 is on the right. How far from q2 should q3 be placed so that it experiences no force? q3 is positive. Hint: q3 will be between q1 and q2.

In a vacuum, two particles have charges of q1 and q2, where q1 = +3.66 μμC. They are separated by a distance of 0.281 m, and particle 1 experiences an attractive force of 3.45 N. What is the magnitude of q2?

Point charges q1 = 42 µC and q2 = −21 µC are placed 3.5 m apart. Where must q3 = 27 µC be placed (on the x-axis, in m) so that the net force on it is zero? (Assume that q1 is at x = 0 and q2 is at x = 3.5 m.) x=____ m

6. For vectors B = -î – 4ĵ and Å = -31 – 2j, calculate: a. Ā +B and its magnitude and direction angle b. A-B and its magnitude and direction angle.

Three point charges are located on the corners of a right triangle as shown in the Figure, given: 91 (μC) 126 92 (μC) -76.6 93 (μC) 51.2 a (m) 3.00 b (m) 4.00 What is the y-component (unit in N) of the electric force of q₁ onto 93? a 92 O + 91 b y 93 x

= Three point charges are arranged as shown in the figure below. Find the magnitude and direction of the electric force on the particle q = 5.12 nC at the origin. (Let r12 magnitude N direction ° counterclockwise from the +x axis y 6.00 nC 112 x 9 0.100 m -3.00 nC | + 0.260 m.)

Two charges, qi =-1.069 µC and unknown charge q2 are separated by distance 6.92 cm, and placed with charge q1 to the left of charge q2, as shown in the picture below. Charge q2 exerts force F2 on 1 of magnitude 4.35 N that point in the negative x-direction. F2 on 1 91 92 ? What is the exact (not absolute) value of charge q2? Express your answer in microcoulombs, with a precision of three places after the decimal.

16. Two point charges qA = +10.0 µC and qB = -40.0 µC and a third particle with unknown charge qC are located on the x axis. The particle qA is at the origin, and qB is at x = 12.0 cm. The third particle is to be placed so that each particle is in equilibrium under the action of the electric forces exerted by the other two particles. a) The diagrams below show a positively charged qC in each of the three possible locations with respect to qA and qB. Draw and label vectors (for example, -->F AB) showing the directions of the forces on all three particles, and circle any of the diagrams in which there are opposing forces on all three charges.

Three charges, q₁ =-2.7 µC, q2 =5.4 μC and 93 =2 μC are placed on xy plane as shown in the picture below. 92 a 91 y b a a = 4.0 cm b = 2.0 cm r12 r13 = √√√a² + b² = 0.0447 m 93 X What is the x component of the net force exerted on charge q₁ by charges 92 and 93. Provide your answer in newtowns with the precision of two places after decimal.

Three charges are located on the corners of a right-angle triangle as in the figure. If a = 3,0 mm, b= 4.0 mm, Q-44 nCin the figure, what is the magnitude of the total electric force acting on the charge Q located at 4.0 mm from the origin on the x-axis? 2Q 3Q b= 4.0 mm Select one: OA 1.94 N OB. 11.62 N OC. 446 N Activate Widosat OD. 8.72 N a= 3.0 mm