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P102A1 - q 3 =(5/4 q 1 express the magnitude | F 3 | of the...

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Physics 102 2006-1 VECTOR ADDITION Written assignment: (10 marks) due Jan 20, 2006 at 9:25 am Please answer the following question clearly, step-by-step, starting with a careful diagram. Hand it in to the appropriate wooden box marked ‘Phys 102’ (A-L or M-Z according to your surname) in the hallway leading from the AQ towards the Physics Dept. Print your name and student # legibly on the top right-hand corner of each page, and write your signature underneath. PROBLEM Two charges, q 1 and q 2 , are located on the x axis, in vacuum, so that the coordinates of q 1 are (-a, 0) and the coordinates of q 2 are (a, 0) . A third charge q 3 is located at an arbitrary point P on the + y axis, so that its coordinates are (0, b) where b can vary from zero to infinity. Part I: If q 2 = - (3/5) q 1 and
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Unformatted text preview: q 3 = (5/4) q 1 , express the magnitude | F 3 | of the total electric force on q 3 in terms of the Coulomb force constant k , the charge q 1 , the distances a and b , and the angle _ between the x-axis and the line joining q 1 and q 3 . Express the direction _ of the total electric force on q 3 in terms of _ . Draw a diagram to illustrate your definition of _ . Part II: Test that your expressions work by considering the following two ‘special cases’: i) q 3 is located on the x axis, coordinates (0, 0) ii) q 3 is located very far up the y axis, so that b _ ± First, find F 3 for each special case. Then, show that your expressions for F 3 from Part I reduce to the correct answers in each of these two special cases....
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