An infinite straight wire carries a current I that varies with time as shown above. It increases from 0 at t = 0 to a ma

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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 Φ through the loop at time t = t1 = 18 s?
T-m2
2)
What is ε1, 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.V
3)
What is ε2, 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.V
4)
What is the direction of the induced current in the loop at time t = t3 = 29 seconds?
Clockwise
Counterclockwise
There is no induced current at t = t3
5)
What is ε4, 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.V