Physics 21Fall 2007Solution to HW-6Electric Fields and Equipotential SurfacesThe dashed lines in the diagram represent equi- potential lines drawn in 1 volt increments. (A) What is the work done by the electric force to move a 1 C charge from Ato B? (B) What is the work done by Eto move a 1 C charge from Ato D? (C) The magnitude of Eat point Cis ... (A) zero; Aand Bare on same equipotential surface. (B) 1 volt x 1 C = 1 Joule (C) (first option), "greater than the magnitude of Eat point B," because the equipotential lines are closer together at C.23.47In a certain region, the electric potential is V(x,y,z) = Axy -Bx^2+Cy, where A, B, and Care positive constants. Find E_x, E_y, and E_z. Where is the potential zero (multiple choice)?24.2The plates of a parallel plate capacitor in a vacuum have a separation of d, and each has an area of A. Each plate carries a charge Q. What is (A) the capacitance, (B) the potential difference, and (C) the magnitude of the field between the plates?
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