Problem on electric forces and electric fields

Question

Assignment:

Electric Forces and Electric Fields

Question 1. Two point charges, one positive and the other, a negative charge, are separated by a small distance.  (a)  Determine the ratio q₁/q₂ ?  (b) What are the signs of q₁ and q₂?

Question 2. A vertical electric field of magnitude 2.00 x 10⁴ N / C exists when a thunderstorm is brewing.  A car with a rectangular sixe of 6.00 m by 3.00 m is traveling along a roadway sloping downward at 10.0⁰.  Determine the electric flux through the bottom of the car.

Question 3. A 40.0-cm-diameter loop is rotated in a uniform electric field until the position of maximum electric flix is found.  The flux in the position is measured to be 5.20 x 10⁵ N m² / C.  What is the magnitude of the electric field?

Question 4. The electric field everywhere on the surface of a thin spherical shell of radius 0.750 m is measured to be 890 N / C and points radially toward the center of the sphere.  (a)  What is the net charge within the sphere's surface?  (b)  What can you concolude about the nature and distribution of the charge inside the spherical shell?

Question 5. A charge of 170 μC is at the center of a cube of a side 80.0 cm.  (a) Find the flux through each face of the cube.  (b) Find the flux through hthe whole surface of the cube.  (c)  Would your answers to parts (a) or (b) change if the charge were not at the center?  Explain.

Question 6. A point charge Q is located just above the center of the flat face of a hemisphere of radius R.  What is the electric flux (a) through the charged surface and (b) through the flat face?

Question 7. A cylindrical shell of radius 7.00 cm and length 240 cm has its charge uniformly distributed on its curved surface.  The magnitude of the electric field at a point 19.0 cm radially outward from its axis (measured from the midpoint of the shell) is 36.0 kN / C.  Find (a) the net charge on the shell and (b) the electric field at a point 4.00 cm from the axis, measured radially outward from the midpoint of the shell.

Provide complete and step by step solution for the question, use formulas.