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3. (20 points) A solenoid has a length of 0.1 m and cross sectional area 104 m2 The total number of turns of wire isN-1000. The current in the wire is 1-0.01 sin (100 π t). μο 4TY 107 in our SI units, a) Find the magnetic field B(t) inside the solenoid. b) Find the magnetic flux Ф, (t) inside the solenoid. c) Express the induced voltage on one turn of the wire,in terms of dI/dt. What is the inductance Li for one turn of the wire? d) What is the inductance L for the whole solenoid? e) What is the induced voltage Vit) for the whole solenoid? Take ㎡ 10.

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