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Physics 9HD_Midterm 1_2009

# Physics 9HD_Midterm 1_2009 - Physics 9HD Midterm 1 You are...

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Physics 9HD, Midterm 1, October 26, 2009 You are permitted to use one 8 /1/2” x 11” sheet of paper with formulas. You will not need your calculator. MAXIMUM SCORE IS 100 POINTS . SHOW ALL WORK FOR PARTIAL CREDIT. Useful formulas: In spherical coordinates, for spherical symmetry, r r r = ψ φ θ ψ ) r ) , , ( , and = r r r r r ψ φ θ ψ 2 2 2 1 ) , , ( 1. Fill in the blanks. (a) (1 point)The direction of the electric field is defined as the direction that a _____________________ test charge would move. (b). (4 points) If a point charge moves at constant velocity x v v o ˆ = r into a region of constant electric field, z E E o ˆ = r , the path of the charge will be a ________________________________. How would the path change if the sign of the charge were to be reversed?__________________________________________ 2. (20 pts) Consider a coaxial cable, which has a solid inner conductor of radius a, an outer cylindrical conducting shell of radius b, and a length L, where L>>b,a.. (a) Use Gauss’s Law to derive the E r field between the two conductors, if there is a linear charge density of + λ

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Physics 9HD_Midterm 1_2009 - Physics 9HD Midterm 1 You are...

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