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problem magnetics_pdf

problem magnetics_pdf - samani(nms654 H7MagnFields...

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samani (nms654) – H7MagnFields – Avram – (1956) 1 This print-out should have 46 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points The current in the wire shown in the figure is 20 A. 1 cm 2 cm P 20 A Find the net magnetic field at point P . The permeability of free space is 4 π × 10 7 T · m / A. Answer in units of μ T. 002 (part 1 of 2) 10.0 points Consider the application of the Biot-Savart law Δ vector B = μ 0 4 π I Δ vector × ˆ r r 2 . Consider the magnetic field at O due to the current segments B B +semicircle+ CC . The length of the linear segments, B B = CC = d . The semicircle has a radius R . x y I I I 180 O R B B C C A The magnetic field B O at the origin O due to the current through this path is 1. out of the page. 2. into the page. 3. undetermined, since B 0 = 0 . 003 (part 2 of 2) 10.0 points At O , the magnitude of the magnetic field due to the current segments described above is given by 1. B O = μ 0 I 2 R 2. B O = μ 0 I 4 π R 3. B O = μ 0 I 2 π R 4. B O = μ 0 I π 4 R 5. B O = μ 0 I π 2 R 6. B O = μ 0 I π R 7. B O = 0 8. B O = μ 0 I π R 9. B O = μ 0 I 4 R 10. B O = μ 0 I R 004 10.0 points The closed loop shown in the figure carries a current of 20 A in the counterclockwise direc- tion. The radius of the outer arc is 60 cm , that of the inner arc is 40 cm . Both arcs ex- tent an angle of 60 . The permeability of free space is 4 π × 10 7 T m / A. 40 cm C B 60 cm D A O 60 y z Find the component of the magnetic field at point O along the x axis. Answer in units of T . 005 (part 1 of 2) 10.0 points A closed circuit consists of two semicircles of

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samani (nms654) – H7MagnFields – Avram – (1956) 2 radii 58 cm and 30 cm that are connected by straight segments, as shown in the figure. A current of I = 6 A flows around this circuit in the clockwise direction. The permeability of free space is 4 π × 10 7 T m / A. O 30 cm 58 cm ˆ ˆ k ˆ ı ˆ ı is upward from the paper I = 6 A I What is the direction of the magnetic field B at point O . 1. None of these are true‘. 2. vector B bardbl vector B bardbl = ˆ ı 3. vector B bardbl vector B bardbl = + ˆ k 4. vector B bardbl vector B bardbl = +ˆ 5. vector B bardbl vector B bardbl = +ˆ ı 6. vector B bardbl vector B bardbl = ˆ k 7. vector B bardbl vector B bardbl = ˆ 006 (part 2 of 2) 10.0 points Find the magnitude of the magnetic field at point at point O . Answer in units of μ T. 007 10.0 points A circular loop of wire of radius R = 3 . 98 m lies in the xy -plane, centered about the origin. The loop is carrying a current of I = 9 . 04 A flowing in counterclockwise direction. Consider two l = 1 . 12 mm segments of the loop: one centered about the positive x -axis, the other centered about the positive y -axis. Hint: Use Biot-Savart law. The permeability of free space is 1 . 25664 × 10 6 Tm / A .
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problem magnetics_pdf - samani(nms654 H7MagnFields...

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