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1.16 Consider an infinite non-conducting plane having a charge density of 1 C/m^2. Sketch electric field...

1.16 Consider an infinite non-conducting plane having a charge density of 1 C/m^2. Sketch electric field lines and indicate the value of electric field 1 m away from the plane

1.17 Let’s add a point charge of -1C, at a distance 1 m from the plane in problem 1.16. What would be the force onto the charge?

1.18 How much work will it take to remove the point charge in 1.17 from where it was infinitely far away from the plain. Explain your answer to the best of your knowledge.

Consider a conducting sheet with dimensions 1m by 1m by 1mm. A charge of 1 C was deposited into it, assume it is spread uniformly along the surface.

1.19 What is the electric field inside the sheet?

1.20 What is the electric field immediately outside the sheet. Sketch the directions and indicate the magnitude.

1.21 Suppose we place a positive point charge at a distance 1 mm away from the conducting sheet (around the center) in problem 1.19. Will the distribution of charges inside the sheet change? If it does, sketch how.

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electric field inside a cavity is zero

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