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Problemset7_Solutions

# Problemset7_Solutions - a Find the B f eld on the axis at...

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P114 PROBLEM SET 7 Spring 2007 Homework to be handed in by 1800 hours on Tuesday 20 March 2007 . [1] A 2.0 cm by 1.5 cm rectangular coil has 300 turns and rotates in a magnetic fi eld of 4000 G. a; What is the maximum emf generated when the coil rotates at 60 Hz? b; What must its frequency be to generate a maximum emf of 110 V? [2] A rod 20 cm long moves at 25 m/s perpendicular to its length and in a plane perpendicular to a magnetic fi eld of 1000G. a; Find the E fi eld in the rod. b; What is the potential di ff erence between the ends of the rod? c; What is the magnetic force on an electron in the rod? [3] Two solenoids of radii 2.0 cm and 5.0 cm are coaxial. They are each 25 cm long and have 500 and 2000 turns, respectively. Find the mutual inductance. [4] A solenoid has a length of 25 cm, a radius of 2 cm, and 500 turns and carries a 6 amp current.

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Unformatted text preview: a; Find the B f eld on the axis at the center of the solenoid b; Find the F ux through the solenoid assuming B is uniform c; Find the self inductance of the solenoid d; Find the induced emf in the solenoid when the current changes at 300 A/s [5] A toriod is made by winding 1,000 turns evenly spaced around a ferromagnetic torus having relative permeability of κ m = 100 . The iron torus has a square cross section (1 cm x 1 cm) with an inner radius of 1 cm and an outer radius of 2 cm. (a) Calculate the B f eld inside the torus if a current of 0.5 amps passes through the wire. (b) Calculate the self inductance of the toriod. (c) Calculate the stored energy when a current of 0.5 amps passes through the winding. 1...
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