2. Flux Through a Rectangular Sheet A piece of paper is folded into three equal parts as shown. Perspective view Side view a. How many area vectors are needed to describe the surface of the paper? Sketch the area vectors using a side-view diagram and label them A1, A2 , etc. b. Consider an imaginary surface in a uniform electric field E as shown. The surface has the same size and shape as the paper above. Is the absolute value of the flux through the top third of the surface greater than, less than, or equal to that through the middle third? Explain your expectation.3. Flux Through a Circular Sheet The circular loop shown in perspective view below has area A. Perspective view i 0 +9 |\\'\\ | Circular Ji loop of /' area A a. The loop is held to the right of a positive point charge as shown. i. Draw and label an area vector for the surface bounded by the loop. ii. Sketch electric field lines to represent the electric eld due to the charge. iii. Is the electric ux through the loop due to the charge positive. negative. or zero? Explain your reasoning. b. A positive charge with twice the value of the initial charge is now placed to the right ol the loop as shown below. Both charges are the same distance from the loop and are placed along the axis of the loop. Perspective view \\ l Is the net electric flux through the loop clue to the charges positive. negative. or zero? Explain your reasoning. (Note: Use the same area vector you used in part 3.} c. Suppose that the new charge located to the right of the loan had been negative instead of positive. How. if at all. would your answer to part I) change? Explain