1. A unit'crn'lI}.r charged insulating rod of length 14.0 cm is bent into the shape of a semicircle. The rod has a total charge of +4.50 [16. a. What is the linear charge density of the rod? {2 points} b. Develop an integral expression that could be used to evaluate the electric eld at the center of the circle (point P} {2 points} c. Using your expression from Part b above. calculate the magnitude and direction of the electric eld at the center of the circle. {4 points} 2. (2 points) Charges of +2q, +q, and -q are distributed in an area as shown to the right. Consider a Gaussian surface 0+q located around the +2q charge, with a point P located on the surface as shown. Which of the statements below is true? Note that the +2q charge is not located at the center of the Gaussian surface. A. The electric field at P depends only on the +2q charge. B. The electric field is the same everywhere on the Gaussian surface. C. The electric field is the same everywhere inside the Gaussian surface. D. The net flux through the Gaussian surface depends only on the +2q charge. E. The net electric field at point P can be determined using the Gaussian surface shown Justify your answer. 3. A solid conducting sphere carrying net charge Q has radius a. a. Derive or state an expression for the electric field at a distance r a. (1 point) c. On the diagram below, sketch the electric field as a function of r. (3 points) AE