Discussion Question 2B P212, Week 2 Electric Field Due to Point Charges Four point charges 2q, q, q, and qare placed at the corners of a rectangle of dimensions aand 3aas shown in the figure. A fifth charge Qis placed at the center of the rectangle. Our task is to compute the electric fieldat the center of the rectangle, and then determine the force on Q. (a) Each of the 4 charges at the corners contributes to the electric field Eat the center of the rectangle. You’ll have to add these contributions by components. First, start by finding the magnitudesof all the electric field contributions you will need to add together. | Eq | = kq/r2r = 52a| E2q| = 2kq/r2(b) Without using your calculator, calculate sin(θ), cos(θ),and tan(θ)where θis the angle defined in the diagram. (Express your answer algebraically.) sinθ= 1/√
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