1 . The electrostatic force between two charges located 4.0 meters apart is 0.18

Question

1. The electrostatic force between two charges located 4.0 meters apart is 0.18 N. What will the force be between these charges when they are located 1 meter apart?
Newtons

2. Three identical metallic conducting spheres carry the following charges: q1 = +4.6 C, q2 = 3.4 C, and q3 = 6.8 C. The spheres that carry the charges q1 and q2 are brought into contact. Then they are separated. After that, one of those two spheres is brought into contact with the third sphere that carries the charge q3. What is the final charge on the third sphere?
C

3. How many excess (or deficiency) electrons make up the final charge on each object?
electrons

4. Two identical small insulating balls are suspended by separate 0.28 m threads that are attached to a common point on the ceiling. Each ball has a mass of 7.90 × 10-4 kg. Initially the balls are uncharged and hang straight down. They are then given identical positive charges and, as a result, spread apart with an angle of 43° between the threads. What is the charge on each ball?
C

5. What is the tension in the threads?
N

6. Two point-like charges are placed as shown in the figure, r1 = 26.0 cm and r2 = 60.0 cm. Find the magnitude of the electric field at point (p) shown in the figure. Let q1 = 30.0 µC, q2 = 24.0 µC.
N/C

7. Two point-like charges are placed at the corners of a square as shown in the figure, 32.0 cm on each side. Find the magnitude of the electric field at the bottom left corner. Let q1 = +31.0 µC, q2 = 30.0 µC.
N/C

8. Three point-like charges are placed at the corners of a rectangle as shown in the figure, a = 26.0 cm and b = 52.0 cm. Find the magnitude of the net electrostatic force exerted on the point charge q3. Let q1 = 32.0 µC, q2 = 34.0 µC, q3 = +50.0 µC.
N

9. Four point-like charges are placed as shown in the figure, three of them are at the corners and one at the center of a square, 32.0 cm on each side. Find the magnitude of the net electrostatic force exerted on the point charge q2. Let q1 = q3 = +24.0 µC, q2 = 32.0 µC, and q4 = 38.0 µC.
N

10. The drawing shows an edge-on view of two planar surfaces that intersect and are mutually perpendicular. Surface (1) has an area of 1.90 m², while surface (2) has an area of 3.90 m². The electric field in the drawing is uniform and has a magnitude of 200 N/C. Find the magnitude of the electric flux through surface (2) if the angle made between the electric field with surface (2) is 30.0°.
Nm²/C

Explanation / Answer

when q1 and q2 made contact

Q = (q1+q2)/2 = 4.6 - 3.4)/2 = 0.6 uC

after that q1 and q3 made contact

Q1 = 0.6 - 6.8)/2 = -3.1 uc

Charge on 1 = -3.1 uC and no. of electron = 3.1*10^-6/(1.6*10^-19) = 1.93*10^13

Charge on 2 = 0.6 uC and no. of electron = 0.6*10^-6/(1.6*10^-19) = 3.75*10^-12

Charge on 3 = -3.1 uC and no. of electron = 3.1*10^-6/(1.6*10^-19) = 1.93*10^13

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