1) A net charge of 1C is spread uniformly throughout a solid insulating sphere o

Question

1) A net charge of 1C is spread uniformly throughout a solid insulating sphere of radius 0.5m. Use Gauss’ law with a spherical surface to find the electric field magnitude at 0.25m from the center of the charged sphere. (Hint: You will need to identify the amount of charge within a 0.25m radius. Use for the volume of sphere to help identify the charge.)

2) Use Gauss’ Law to derive a formula for the electric field from a line of charge with charge per length . You should:

a. Identify the Gaussian shape that has a constant electric field perpendicular to each surface and explain why you chose it.

b. Identify how much charge is inside of your shape in terms of and the dimensions of your shape.

c. Identify the surface area that the electric field points through.

d. Express E= 1/_0 |Q_inside/(Surface Area)|

Explanation / Answer

1.

Electric field at r < R: E = kQr/R^3

SO, the electric field magnitude at 0.25m from the center of the charged sphere

= (9x10^9 x1x10^-6x0.25)/(0.5)^3 = 18000 N/C

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