t of work necessary to move a 2 μC charge from (2, 1,-1) to (5, 1, 2). 4.44 In an electric field E = 20r sin 0 a, + 10r

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t of work necessary to move a 2 μC charge from (2, 1,-1) to (5, 1, 2). 4.44 In an electric field E = 20r sin 0 a, + 10r cos 8 a, V/m, calculate the energy expended in transferring a 10 nC charge (a) From A (5, 30°, 0°) to B(5, 90°, 0°) (b) From A to C(10, 30°, 0°) (c) From A to D(5, 30°, 60°) (d) From A to E(10, 90°, 60°) 10 4.45 Let E= V/m. Find VAB, where A is (1, m/4, m/2) and B is (5, 7, 0). 4.46 Let E = 2xy'a, + 2y(x² + 1)a, V/m. Find the work done in transforming a 2 nC charge from point A(2, 3, -1) to B(8, 0, -1). 4.47 In free space, E = 20xa, + 40ya, - 10za, V/m. Calculate the work done in transferring a 2 mC charge along the arc p = 2,0 < </2 in the z = 0 plane.