Question

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 = 5.5 A at t = t₁ = 12 s, remains constant at this value until t = t₂ when it decreases linearly to a value I₄ = -5.5 A at t = t₄ = 31 s, passing through zero at t = t₃ = 24 s. A conducting loop with sides W = 32 cm and L = 65 cm is fixed in the x-y plane at a distance d = 34 cm from the wire as shown.

1.What is ε₁, the induced emf in the loop at time t = 6 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise.

2) What is ε₄, 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.

Answer 1