ece159s_2003_qs05

# ece159s_2003_qs05 - Last Name I First Name Student Number...

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Unformatted text preview: Last Name: I First Name: Student Number: Tutorial Group: University of Toronto Department of Electrical and Computer Engineering ECElSQS: Mdamen’ials of Electricity and Electric Circuits QUIZ 5 February 27, 2003 Duration: 25 minutes ' Notes: QUESTIONS #2 and :53 ARE ON THE BACK OF THIS PAGE, so=s.ssxlo'" rm, no: 4!: x 10" rum 1. (5 marks) A large rectangular loop is placed on the x—y plane within a time varying magnetic ﬁeld, B, as shown below. The loop is 2 m high and 3 m wide. The direction of the magnetic ﬁeld is into the page and its maglﬁmdeisgiven by B=4t2xWblm’, wheretisinseconds and xisinmeters. Att =0.l 3, what isthe magnitude of the induced emf in the loop and the direction of the induced current in the loop? y on, {Of 3‘0” 2m = I‘M-1x Zolx @B a 3m x_ = 36 t’. &+ t: a"; } .dv'r‘ec'h‘ew Com 1‘2" do; va‘: e 2. (2 marks) What is the magnetic ﬁeld at the centre of a 1.23 m long solenoid given that its diameter is 3.55 cm, there are 850 tums and the current through it is 5.57 A? gala?” — W , 663w" 'r ___,_ , L 1.23”» 3. Given a solenoid with an inductance of 0.25 H and has an induced emf of 100 mV, determine the following: a. (I mark) What is the rate of change of current through the solenoid? V1, Lab? g; .« 9i? _ . ﬂ] JI—IA b. (2 marks) What condition is necessary such that there will be 2 J of energy stored in the magnetic ﬁeld of the solenoid? . W; '5’: AIL I: ‘7'}! cousin-J Curran!“ ...
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