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# HW6soln - Physics 21 Fall 2007 Solution to HW-6 Electric...

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Physics 21 Fall 2007 Solution to HW-6 Electric Fields and Equipotential Surfaces The 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 A to B ? (B) What is the work done by E to move a 1 C charge from A to D ? (C) The magnitude of E at point C is ... (A) zero; A and B are on same equipotential surface. (B) 1 volt x 1 C = 1 Joule (C) (first option), "greater than the magnitude of E at point B, " because the equipotential lines are closer together at C . 23.47 In a certain region, the electric potential is V ( x,y,z ) = Axy - Bx^ 2 +Cy , where A, B , and C are positive constants. Find E_x, E_y , and E_z . Where is the potential zero (multiple choice)? 24.2 The 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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