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4) Consider the charge distribution shown. It is a part of a circle, of radius R. a) What is t ...
4) Consider the charge distribution shown. It is a part of a circle, of radius R. ? a) What is the electric field at the origin (marked "O")? Your answer may include the following variables and constants (you might not need all of them): 2, Z, X, R, K, 0 b) What is the magnitude and direction of the electric force on a charge Q that is placed on the origin, due to the curved distribution? For this problem, choose values for the following variables (you may choose any value for each of them, in the given range): • 2, between +0.1x10-6 C/m and +1x10-6 C/m • R, between 0.1 meters and 1 meter • 0, between 40° and 70° • Q, between +0.01x10-6 C and +0.05x10-6 C c) Where could you place another positive charge q, such that it would be possible for the total force on Q to be 0? Explain your answer.
a) Let us consider a small element of the charge distribution of length at an angle . The electric field due to this element is shown above. We split it into x and z components to simplify calculations. The total electric f