23 - Kapoor(mk9499 homework23 Turner(60230 This print-out...

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Kapoor (mk9499) – homework23 – Turner – (60230) 1 This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Given: A loop with current I produces a magnetic moment μ , as shown below. μ Consider the following four configurations of two loops each, A , B , C , and D . The placement and current directions of the loops are shown below. The loops are characterized by their magnetic moments μ . μ μ μ μ μ μ μ μ A B C D For configurations A and B , assume that the two current loops have the same axis and move freely along the axis. For configurations C and D , assume that the two current loops are on in same plane and move freely only in that plane. In which case(s) are the current loops at- tracted to one-another? 1. A 2. B 3. A , D 4. B , D 5. B , C 6. D 7. A , C correct 8. None of these. 9. C Explanation: If we consider the magnetic moments as a small magnets, then opposite poles will at- tract (N and S), and same poles will repel each other (N and N, S and S). In case of A and C, opposite poles are facing each other, so the system is stable. 002 10.0 points A small magnet of length 7 . 1 cm is placed at an angle of 50 to the direction of uniform magnetic field of magnitude 0 . 04 T. The observed torque has a magnitude of 0 . 1 N m. Find the magnetic moment of the magnet. Correct answer: 3 . 26352 A m 2 . Explanation: Let : θ = 50 , B = 0 . 04 T , and τ = 0 . 1 N m . The magnitude of the torque acting on the magnet is τ = μ B sin θ , μ = τ B sin θ = 0 . 1 N m (0 . 04 T) sin 50 = 3 . 26352 A m 2 .
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