Hello I need solutions for those questions with CLEAR CORRECT answers plz. An in
ID: 1302619 • Letter: H
Question
Hello I need solutions for those questions with CLEAR CORRECT answers plz.
An infinite straight wire carries a current I that varies with time as shown above. It increases from 0 at t = 0 to a maximum value I1 = 5.4 A at t = t1 = 18 s, remains constant at this value until t = t2 when it decreases linearly to a value I4 = -5.4 A at t = t4 = 35 s, passing through zero at t = t3 = 29 s. A conducting loop with sides W = 36 cm and L = 76 cm is fixed in the x-y plane at a distance d = 50 cm from the wire as shown.
1-What is the magnitude of the magnetic flux ? through the loop at time t = t1 = 18 s
2-What is ?1, the induced emf in the loop at time t = 9 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise.
3-What is ?2, the induced emf in the loop at time t = 20 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise.
4-What is ?4, the induced emf in the loop at time t = 32 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise.
Explanation / Answer
An infinite straight wire carries a current I that varies with time as shown above. It increases from 0 at t = 0 to a maximum value I1 = 2.5 A at t = t1 = 15 s, remains constant at this value until t = t2 when it decreases linearly to a value I4 = -2.5 A at t = t4 = 30 s, passing through zero at t = t3 = 25 s. A conducting loop with sides W = 24 cm and L = 58 cm is fixed in the x-y plane at a distance d = 26 cm from the wire as shown.
http://img713.imageshack.us/img713/7218/h17bfromwire.png
1)
What is the magnitude of the magnetic flux ? through the loop at time t = t1 = 15 s?
(I got this one as 1.407264E-7)
2)
What is ?1, the induced emf in the loop at time t = 7.5 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise.
3)
What is ?2, the induced emf in the loop at time t = 17 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise.
4)
What is the direction of the induced current in the loop at time t = t3 = 25 seconds?
A. Clockwise
B.Counterclockwise
C.There is no induced current at t = t3
5)
What is ?4, the induced emf in the loop at time t = 27.5 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise.
A: still feel one should think a little bit for him or herself, so here's the strategy and explanation to each of the questions.
1) Use the Biot-Savart for an infinitely long wire.
B = (
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