4. An infinite sheet of uniform charge per unit area o > 0 and an infinite sheet of equal and opposite uniform charge perunit area o are held a distance & apart:Aa) What is the electric field in regions A, B, and C?b) An electric dipole is placed in region B as shown below:If-O=-OBd+qOOq20 μC, σ = 30, and d=10-5 m what is the net force on the dipole? What is the net torque on the dipole(make sure to give a direction)? If the dipole starts from rest, will its dipole moment initially rotate clockwise or counter-clockwise?Cc) Again suppose the dipole starts from rest. The total energy of the dipole is conserved. How much kinetic energy willthe dipole have when it reaches stable equilibrium (see problem 3)?

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Answered: 4. An infinite sheet of uniform charge…

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2-3) Here's a classic problem. Consider two metal spheres of different radiuses RA and Rs, separated by a great distance. Sphere A has a charge Q and Sphere B is initially uncharged. Now suppose that we run a conducting wire from one to the other, then disconnect and discard the wire. A) Determine the amount of charge on each sphere in terms of the quantities given in the problem. B) Determine the magnitude of the electric field at the surface of each in terms of the quantities given in the problem. HINTS: There may be some information that was not discussed in class. First, the electric field at the surface of a metal is perpendicular to the surface of the metal. If it were not, there would be a component of E along the surface that would force charges to redistribute themselves until that component goes to zero. Second, once charges have stopped moving from A to B, what can you say about their surfaces? Lastly, you may want to consider Gauss's law.
Suppose you are 1 cm away from an infinite flat sheet of charge +Q. At that point you measure an electric field E. If you measure the electric field at a point 3 cm away, it will be O a. E o b. E O c. a d.
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4. An infinite sheet of uniform charge per unit area o> 0 and an infinite sheet of equal and opposite uniform charge per unit area o are held a distance & apart: -0 ·[.·I· A B C l a) What is the electric field in regions A, B, and C? b) An electric dipole is placed in region B as shown below: -0