Question

Q2: EM Induction Problem Statement A uniform magnetic field is applied perpendicular to the plane of a 60-turn circular coil with a radius of 6.0 cm and a resistance of 0.60 12. If the magnetic field increases uniformly from 0.20 T to 1.8 T in 0.20 s, what is the magnitude of the emf induced in the coil? Visual Representation • Draw a sketch or circuit diagram. • Indicate the direction of the applied magnetic field • Is the flux increasing, decreasing or staying the same? • Use Lenz's law to determine the direction of the induced current. • List known and unknown values Mathematical Representation • Start with the expression for Faraday's law • Determine an expression for the flux as a function of time • Substitute in the known values Solve for the desired unknown • Check units and assess if your answer is reasonable .

Answer 1

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X X OL X X Resistance R = 0.602 Rodius r 6 cm = 6*10-2my No tors N = 60 tons. x 86 cm х х IoT Magnehe field B charges from 0.2T to I Let us conside B inwards as B increases 9 by the o flux through ugh coil increases So hena's low the emf induced /induced wheula will be such that to oppose the flux chage so cubwords Ř should be made induced cassent Induced cussent direction outwarch. by so Now induced, F = - (Fawadays Em dt ( Faraday's law) B () (r2) cos ° -- BAcos BĀ = Bar2 les E NdBarz)=-Nar (dB at dt 2 1. Es -(60)(R) (646-2) 6 E = (60) (-) ( 36 X104) 8) dB- 1.8 -02 -1.6T di = 0.25 SE TELE 5.428 v

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