2. The figure shows a thin rod with total positive charge Q uniformly distributed along its...

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2. The figure shows a thin rod with total positive charge Q uniformly distributed along its length L. Please follow the steps below to help you find an expression for the electric field strength at point P, along the axis of the rod at a distance D from its center. L +++ ++++++ D a) Just by looking at the charge configuration, can you say which direction the net field points in at point P? Please explain how you can tell. b) Please discuss with your partners where you want to set the origin of your coordinate system (e.g. at the center of the rod? at one end?). What factors should you consider? Given that this is a continuous charge distribution, we will need to integrate to find the electric field, using the formula: = k 1 c) For this problem, write an expression for the linear charge density 2, in terms of the total charge Q and the length L. What is dq in terms of and your chosen coordinate system? d) The electric field at point P depends on the (inverse square of the) distance from dq. How should we express this distance in terms of the coordinate system you chose above? e) What is the variable of integration? What are the limits of integration for this variable, given your coordinate system? f) Evaluate the integral and simplify your expression, substituting Q for AL. What would you expect for D >> L? 2. The figure shows a thin rod with total positive charge Q uniformly distributed along its length L. Please follow the steps below to help you find an expression for the electric field strength at point P, along the axis of the rod at a distance D from its center. L +++ ++++++ D a) Just by looking at the charge configuration, can you say which direction the net field points in at point P? Please explain how you can tell. b) Please discuss with your partners where you want to set the origin of your coordinate system (e.g. at the center of the rod? at one end?). What factors should you consider? Given that this is a continuous charge distribution, we will need to integrate to find the electric field, using the formula: = k 1 c) For this problem, write an expression for the linear charge density 2, in terms of the total charge Q and the length L. What is dq in terms of and your chosen coordinate system? d) The electric field at point P depends on the (inverse square of the) distance from dq. How should we express this distance in terms of the coordinate system you chose above? e) What is the variable of integration? What are the limits of integration for this variable, given your coordinate system? f) Evaluate the integral and simplify your expression, substituting Q for AL. What would you expect for D >> L?