Answer Happy

In the picture below, a positive charge, +Q=+4C is uniformly distributed over the red quarter-circle, and a negative charge −Q/2=−2C is distributed over the blue quarter circle. The radius of the circle is R=2 m. (a) What is the magnitude of the net electric field at the origin, (round up your answer to two decimal digits) (b) What is the direction of the net electric field at the origin, in terms of the angle, θ, measured in degrees, counterclockwise relative to the positive side of x-axis? (round your angle to just one decimal digit) Express your answer in (a) in terms of the constant, k, (from Coulomb's law) (i.e. do not use the numerical value of k ). Use π=3.14. In your written solution draw all necessary elements on your sketch, and explain your reasoning when applying integration to solve this problem. Show all details of your step-by-step calculation, including the computation of the integral involved.