Last year Final Exam Question. Please give accurate answer with some explanation
ID: 1571022 • Letter: L
Question
Last year Final Exam Question. Please give accurate answer with some explanation. Thank You. It is for Final Exam Preparation.
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 is N 1000. The current in the wire is I-0.01 sin (100 t). 4 nt x 10-7 in our SI units. a) Find the magnetic field B inside the solenoid. b) Find the magnetic flux (t) inside the solenoid. c) Express the induced voltage on one turn of the wire,in terms of dl dt. What is the inductance L, for one turn of the wire? d) What is the inductance L for the whole solenoid? e) hat is the induced voltage va) for the whole solenoid Take 10.Explanation / Answer
a) magnetic field B(t) = uoNI
= 4 * 3.14 * 10-7 * (1000/0.1) * [0.01 * sin(100pi * t)
= 1.256 * 10-4 * sin(100pi * t)
b) magnetic flux = 1.256 * 10-4 * sin(100pi * t) * 10-4
= 1.256 * 10-8 * sin(100pi * t)
c) induced voltage = - L * dI/dt
where, L = 4 * 3.14 * 10-7 * 12 * 10-4/0.1
= 1.256 * 10-9 H
d) inductance for whole solenoid = 1.256 * 10-9 * 10002
= 1.256 * 10-3 H
e) induced voltage for whole solenoid = - 1.256 * 10-3 * 0.01 * 100pi * cos(100pi * t)
= - 3.944 * 10-3 * cos(100pi * t)
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