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HW02Sol - Jim Guinns PHYS2212 Assignment#2 Solutions 1 A...

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Jim Guinn’s PHYS2212 Assignment #2 Solutions 1. A charge of -3.00 μ C is at the point (-2.00m, 3.00m), what is the electric field vector, E , at the point (5.00m, 4.00m)? The distance from the charge to the point is given by r 2 = (7.00m) 2 + (1.00m) 2 = 50.0m 2 , so r = 7.07m . The magnitude of the electric field is given by E = k Q/r 2 = (8.99x10 9 N m 2 /C 2 ) (3.00x10 -6 C) / (7.07m) 2 = 539 N/C . The electric field points toward the charge at an angle of tan θ = (1.00m/7.00m) = 0.143, so θ = 8.13 o below the –x - axis, so E = 539 N/C at an angle of 8.13 o below the –x - axis. 2. A charge of 3.00 μ C is at the point (4.00m, -2.00m), what is the electric field vector, E , at the point (5.00m, 4.00m)? The distance from the charge to the point is given by r 2 = (1.00m) 2 + (6.00m) 2 = 37.0m 2 , so r = 6.08m . The magnitude of the electric field is given by E = k Q/r 2 = (8.99x10 9 N m 2 /C 2 ) (3.00x10 -6 C) / (6.08m) 2 = 729 N/C . The electric field points away from the charge at an angle of
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tan θ = (6.00m/1.00m) = 6.00, so θ = 80.5 o above the x - axis, so E = 729 N/C at an angle of 80.5 o above the x - axis. 3. A charge of -3.00 μ C is at the point (-2.00m, 3.00m) and a of charge of 3.00 μ C is at the point (4.00m, -2.00m), what is the electric field vector,
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