Consider an infinite plane with positive charge +q. The charge is spread out evenly over both sides
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Question:
- Consider an infinite plane with positive charge +q. The charge is spread out evenly over both sides of the plane, such that there is some surface charge density on each side.
- (a) Describe the Gaussian surface you would use to calculate the electric field for the plane of charge.
- (b) Write down the equation for the electric field on either side of the infinite plane of charge. Describe how this is related to Gauss' Law, and show it with an equation.
- (c) What is the potential as a function of distance from the infinite plane? Explain your answer.
- (d) Describe what happens to the field and potential if you were to bring in a second infinite plane with negative charge q and place it parallel to the first plane at a distance d. What is the new formula for the field, in-between and outside the two planes?
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