?? f) Calcuate ?? at the origin by integrating ???? from ? = 0 to ? = 2 ? . Reme

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?? f) Calcuate ?? at the origin by integrating ???? from ? = 0 to ? = 2?. Remember to exploit any symmetry

before you perform the integration (hint, what is the direction of the E-field?) !

Consider a wire that is in the form of a charged circle, with total charge Q What is the electric field at the origin 0 ? (Hint, think of the effect of any point and it's diametrically opposite point) Let us cut the circle into two halves Calculate the charge per unit length X on the half slice Knowing that the length of the differential length element dS on the half-circle is equal to Rd theta where theta is angle in polar coordinates and R is the radius, calculate the differential charge dq on the differential length element dS. What is the magnitude of the electric field, dE, generated by the small differential element dS at the origin? Give me the answer in terms of k, lambda, R, and d theta. We know from a class that dE rightarrow = dExx + dEyy. Express dEx and dEy in terms of theta, k, lambda, R, and d theta.

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