A plastic rod with linear charge density is bent into the quarter circle shown in FIGURE

A plastic rod with linear charge density λ is bent into the quarter circle shown in FIGURE P23.48. We want to find the electric field at the origin.

a. Write expressions for the x-and y-components of the electric field at the origin due to a small piece of charge at angle θ.b. Write, but do not evaluate, definite integrals for the x-and y-components of the net electric field at the origin.c. Evaluate the integrals and write E_net in component form.

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+ + FIGURE P23.48 X X x X