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a.) A small sphere with a mass of 0.0029 g and carrying a charge of 6.1...

a.) A small sphere with a mass of 0.0029 g and carrying a charge of 6.1 x 10-8 C hangs from a thread near a very large, charged sheet as shown in the figure above. The charge density σ on the sheet is -1.8 x 10-9 C/m2. The electric field for a plate charge is E=σ/(2*ε0). What is the angle (θ) of the thread from the vertical?

b.) How many excess electrons must be distributed uniformly within the volume of an insulated plastic sphere 35 cm in diameter to produce an electric field of 1050 N/C just outside the surface of the sphere? (# of electrons)

c.) What is the electric flux for the sphere in part B?

d.) What is the electric field at a point 10 cm outside the surface of the sphere in part B?

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