Mechanics

1. A piece of paper is folded into three equal parts as shown.

a. How many area vectors are needed to describe the surface of the paper? Sketch the area vectors on the 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 flux through the top third of the surface greater than,less than, or equal to the flux through the middle third? Explain.

c. Write an expression for the net electric flux pet through the entire surface in terms of the area vectors and the electric field E. (Hint: Use the vector definition for electric flux found in tutorial to first write expressions for the flux through each of the flat surfaces.)

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