hw4ece342fall08solution

hw4ece342fall08solution - Name _Solution_ CM _111_ ECE342...

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ECE342 Fall 2008 Homework #4 Solution Page 1 of 4 Name _____Solution_____ CM __111___ Due date: Tuesday, October 7 ECE342 Homework #4 Solution Fall 2008 (Magnetic fields, Ampere’s law, induced voltage, Faraday’s law, inductance) 1 Mark each True/False as either T or F. T ____ The units of m d and d dt El are the same. F ____ The magnetic field intensity H in a volume is zero if  surface 0 B ds , where the integration is over closed surface of the volume. T ____ At t >0, the induced voltage V(t) in the figure on the right-hand side is positive. 2 Two infinite lines of current induce a voltage in a single loop of wire in medium with relative permeability of r =6000 as shown below. ( 0 =4 x10 -7 H/m) 2(a) Find 1 , the magnetic flux produced by current I 1 . Draw its direction on the figure. 2(b) Find 2 , the magnetic flux produced by current I 2 . Draw its direction on the figure. 2(c) Find the actual polarity and value for the induced voltage V(t).
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ECE342 Fall 2008 Homework #4 Solution Page 2 of 4 1 1 1 1 1 45 11 03 7 1 3 1 29 2 2 2 2 05 7 2 2 2 2 4 1 5 1 ln( ) 23 4 6000 4 10 5 ln( )4sin(300 ) 9.81 10 sin(300 ) 2 9 ln( ) 25 2 6000 4 10 6sin(200 ) 9 ln( ) H dl rH I I BH r I B ds dz B dr t t I
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This note was uploaded on 10/26/2008 for the course ECE 342 taught by Professor Song during the Fall '08 term at Rose-Hulman.

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hw4ece342fall08solution - Name _Solution_ CM _111_ ECE342...

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