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solution_pdf23 - tovar (jdt436) homework 23 Turner (59070)...

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Unformatted text preview: tovar (jdt436) homework 23 Turner (59070) 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 An air-core solenoid has a length of 60 . 8 cm, a cross-sectional area of 0 . 059 m 2 , and contains 639 turns. The current through the solenoid increases by 15 . 25 A. The permeability of free space is 1 . 25664 10- 6 N / A 2 . By how much does the magnetic flux through the solenoid change? Correct answer: 1188 . 31 Wb. Explanation: Let : = 60 . 8 cm = 0 . 608 m , A = 0 . 059 m 2 , N = 639 turns , I = 15 . 25 A , and = 1 . 25664 10- 6 N / A 2 . The magnetic field inside the solenoid is B = nI = (1 . 25664 10- 6 N / A 2 ) parenleftbigg 639 turns . 608 m parenrightbigg (15 . 25 A) = 0 . 0201408 T . B = B A = (0 . 0201408 T) (0 . 059 m 2 ) = 0 . 00118831 Wb = 1188 . 31 Wb . 002 (part 1 of 2) 10.0 points Two separate loops each with the same radius and a current, in the directions shown, whose centers lie on the same axis perpendicular to the plane of the loops. 25 cm radius 290A 290A 9 . 8 m This figure is not to scale. The loop radii are small com- pared to the distance between the loops. Note: The left-hand side of the circular loops are closer to you. What approximately is the magnetic flux enclosed by the left loop due to the current in the right loop. Correct answer: 2 . 3758 10- 9 Wb. Explanation: a radius I I Let : a = 25 cm , = 9 . 8 m , and I = 290 A . The magnitude of the magnetic field at the axis of a loop carrying a current I , if is much larger than a is given by B = 2 3 = I a 2 2 3 = 2 bracketleftBig 4 bracketrightBig I a 2 3 , where the magnetic dipole moment = I A = I a 2 . The magnetic field at the left hand loop due to the right hand loop is nearly constant and parallel to the axis. Thus the magnetic flux from this field is tovar (jdt436) homework 23 Turner (59070)...
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This note was uploaded on 12/11/2009 for the course PHY 303L taught by Professor Turner during the Spring '08 term at University of Texas at Austin.

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solution_pdf23 - tovar (jdt436) homework 23 Turner (59070)...

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