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2) The figure shows a ring of charge with radius a = 5.00cm and charge Q = 2.00uC in the xy plane. The point, P,

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2) The figure shows a ring of charge with radius a = 5.00cm and charge Q = 2.00uC in the xy plane. The point, P, is at z = 20.0cm a. (10 pts) Using symmetry and test charge arguments, draw an E field vector on the diagram. The placement and direction have a precise answer. You can actually estimate the magnitude. There is a larger diagram on page 11 b. (5 pts) Draw a dQ for the ring charge on large diagram on page 11. c. (10 pts) Create an equation for dQ with what you see in the picture and what you are given. In this problem you can use an angle similar to the class example. 1. (5 pts) Draw a dE vector for the dQ. e. (10 pts) Write out the dE equation using the do you made. Explain your choice for "r" the distance between dQ and P for the dE equation. f. (5 pts) What will be your variable of integration? g. (10 pts) Next write dEx and dEy for the line charge. Hint: you will have to define a new angle h. (5 pts) Now set up your integrals i. (10 pts) What are the 2 limits? (you don't need to keep the angles in radians) j. (10 pts) Calculate the E field components of Q. k. (10 pts) determine the magnitude and direction of the total E field and draw it on the diagram. How does it compare to part a? P

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