# practicetest2answers 07 - P114 PRACTICE TEST#2 NAME UR ID...

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P114 PRACTICE TEST #2 Prof. Cline NAME UR ID# 1; Two concentric solenoids both have a length 50 cm . The primary coil has 1000 turns and radius 5 cm . The secondary coil has 10 , 000 turns and radius 10 cm. Show all steps to get full credit . a; (6pts) Derive the self inductance of the primary Use Ampere’s law gives the B fi eld due to the primary coil Bl = μ o l N p L I p Therefore B = μ o N p L I p The fl ux linkage in the primary is Φ p = πr 2 p μ o N 2 p L I p The self inductance is L = d Φ p dI p = πr 2 p μ o N 2 p L b; (7pts) Derive the mutual inductance. The fl ux linkage to the secondary is given by Φ sp = πr 2 p μ o N s N p L I p Thus the mutual inductance is given by M = d Φ sp dI p = πr 2 p μ o N s N p L c; (6pts) If the primary current increases linearly at 3 A per second, what is the induced emf V s in the secondary? From Faraday’s law V s = M dI p dt d;(6pts) Calculate the mutual inductance if the volume within the primary solenoid is fi lled with iron of relative permeability κ m = 500 . The iron enhances the magnetic fi eld by the factor κ m = 500 ..Thus the mutual inductance also is increased by the same factor.

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NAME UR ID# 2; The rectangular wire loop shown above has length c , width ( b a ) , and resistance R . It is placed in the plane of the page near a long straight wire, also in the plane of the page.
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