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# HW24 - τ = 0 625 s n = 429 turns m r = 26 cm N = 252 turns...

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Platt, David – Homework 24 – Due: Nov 4 2005, 4:00 am – Inst: Ken Shih 1 This print-out should have 5 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 points A long cylindrical wire of radius 18 cm carries a current of 84 A uniformly distributed over its cross-sectional area. The permeability of free space is 4 π × 10 - 7 T · m / A. Find the magnetic energy per unit length within the wire. Answer in units of J / m. 002 (part 1 of 2) 10 points A long solenoid has inside a coil of fine wire coaxial with it. The permeability of free space is 4 π × 10 - 7 T · m / A. I Outside solenoid has n turns per meter Inside coil has N turns r R What is the mutual inductance between the solenoid and the inner coil? 1. M = π r 2 μ 0 n N 2. M = π R 2 μ 0 n 3. M = 2 π R μ 0 n 4. M = π R 2 μ 0 n N 5. M = 2 π r μ 0 n N 6. M = π r 2 μ 0 n 7. M = 2 π r μ 0 n 8. M = 2 π R μ 0 n N 003 (part 2 of 2) 10 points If the current in the solenoid is I 0 (1 - e - t/τ ), with
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Unformatted text preview: τ = 0 . 625 s, n = 429 turns / m, r = 26 cm, N = 252 turns, and R = 6 cm, what is the magnitude oF the induced emf at time t = 0? Answer in units oF mV. 004 (part 1 oF 2) 10 points Two circular planar coils that have 250 and 360 loops, respectively, and corresponding radii oF 0 . 2 m and 0 . 39 m share a common axis with the coil centers separated by 5 . 7 m and with the axis perpendicular to both planes oF the coil. The permeability oF Free space is 4 π × 10-7 N / A 2 . What is the mutual inductance oF the coils? Hint: Use the Far-feld approximation. Answer in units oF H. 005 (part 2 oF 2) 10 points IF coil 2, carrying a constant current 32 A, is moving at a velocity oF 39 m / s along the axis, what is the magnitude oF the emf induced in coil 1 when the distance between them is 5 . 7 m? Answer in units oF V....
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