3. Four-point charges q₁(+0.5uC), q2(-0.3μC), q3(-0.3μC) and q4 (+0.4µC) are placed on the vertices of a rectangle in vacuum as shown in the figure. Find the magnitude and direction of the Coulomb force on charge q3 due to charges q₁, q2 a and 94. q1 4.0cm 93 3.0cm 92 94
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A: Charges are Q1 = 2.0 micro coulomb Q2 = -4.0 micro coulombQ3 = 7.0 micro coulomb


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- 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.60.0 magnitude direction 0.500 mm (a) Red blood cells often become charged and can be treated as point charges. Healthy red blood cells are negatively charged, but unhealthy cells (due to the presence of a bacteria, for example) can become positively charged. In the figure, three red blood cells are oriented such that they are located on the corners of an equilateral triangle. The red blood cell charges are A = 2.30 pC, B = 7.30 pC, and C= -3.90 pC. Given these charges, what would the magnitude and direction of the electric field be at cell A? (1 pC = 1 x 10-¹2 C.) N/C counterclockwise from the +x-axis.10. Three point-like charges are placed at the corners of an equilateral triangle as shown in the figure. Each side of the triangle has a length of 20.0 cm, and the point (C) is located half way between qı and q3 along the side. Find the magnitude of the electric field at point (C). Let q1 = -1.60 µC, q2 = +2.60 µC, and q3 = +5.20 µC. N/C oof19 00 q3 19.0of19.0of19.oof19 oof19.of of19 0of19 0of19 0of19.oof19 oof of19 0of19 oof19 0
- The figure below shows two identical small, charged spheres. One of mass 4.3 g is hanging by an insulating thread of length 20.0 cm. The other is held in place and has charge q₁ = -3 -3.1 μC. The thread makes an angle of 18° with the vertical, resulting in the spheres being aligned horizontally, a distance r apart. Determine the charge 92 on the hanging sphere. nC 20.0 cm 18⁰ 91 92 ✈5. Two parallel, metal plates with separation distance d=2.00 cm carry charges of equal magnitude but opposite sign. Assume the electric field has a magnitude of 2,000 N/C. A charged particle with mass 2.00x10-16 kg and charge 1.00x106 C is projected from the center of the bottom negative plate with an initial speed of 1.00x105 m/s at an angle of 45 degrees above the horizontal. Assume the plates are square with side length 20.0 cm. a. Where does the particle strike? Answer: b. What is the minimum initial speed the particle must have in order to reach the positive plate. Answer:2. Three-point charges q₁ (+1.0μC), qz (-2.0µC) and q2 (+3.0µC) are placed in vacuum as shown in the figure. Find the magnitude and direction of the force on charge q3 due to charges q₁ and q2. 3.0cm 30⁰ 6.0cm 93.
- Q. 1 Two-point charges q1(3.0µC) and q2(6.0µC) are placed a distance d apart in vacuum. Calculate the Coulomb force experienced by charge q2 due to charge qi for d = 40.0cm, 60.0cm, 80.0cm, 1.00m and 1.2m. Plot the force as a function of d. 20.0cm, q1 q2 d.2. Two small, neutral conducting spleres are placed on the x-axis at x = −5.0 m and at x = +5.0 m respectively. A negative point charge is placed on the x-axis. What is the direction of the net force on the point charge is it is placed in each of the 4 regions or at the origin? Answer: left, right, or zero for each of the following. Region 1 Region 2 Origin Region 3 Region 4 Region 1 Region 2 Origin Region 3 Region 4 X