Assignment Questions -
Q1. Four identical point charges (q = +10.0 μC) are located on the corners of a rectangle (0, 0), (0, W) (L, 0) and (L, W) where L = 60.0 cm and W = 15.0 cm. Calculate the magnitude and direction of the net electric force exerted on the charge at (0, 0) by the other three charges.
Q2. In a thundercloud there may be an electric charge of +40 C near the top and -40 C near the bottom. These charges are separated by approximately 2.0 km. What is the electric force between them?
Q3. Two 2.0-μC point charges are located on the x-axis. One is at x = 1.0 m. and the other is at x = -1.0 m. (a) Determine the electric field on the y-axis at y = 0.50 m. (b) Calculate the electric force on a -3.0-μC charge placed on the y-axis at = 0.50 m.
Q4. A uniformly charged disk of radius 35 cm carries a charge density of 7.9 x 103 C/m2. Calculate the electric field on the axis of the disk at (a) 5.0 cm. (b) 10 cm. (c) 50 cm. and (d) 200 cm from the center of the disk.
Q5. A proton moves at 4.50 x 105 m/s in the horizontal direction. It enters a uniform electric field of 9.60 x 103 N/C directed vertically downward. Ignore any gravitational effects and find
(a) the time it takes the proton to travel 5.00 cm horizontally,
(b) its vertical displacement at that time, and
(c) its velocity vector at that time.
Q6. An insulating sphere is 8.00 cm in diameter and carries a 5.70-μC charge uniformly distributed throughout its interior volume. Calculate the charge enclosed by a concentric spherical surface with radius (a) r = 2.00 cm and (b) r = 6.00 cm.
Q7. A sphere of radius a carries a volume charge density ρ = ρ0(r/a)2 for r < a. Calculate the electric field inside and outside the sphere.
Need all questions with all step by step procedure.