Question

Question 4 Consider an infinite line current I along the z-axis, which produces a magnetic field: in the surrounding free space (εο, μολ Close to the current, there is a square loop (of dimensions d d), which has two resistors R1 552 and R2-102. If the curent 1 = 10 cos(wt) and the square loop is at a fixed distance ro from the current, derive an expression for the voltages Vi and V2, applying Faraday's law. Clearly indicate the polarity of the elec- tromotive force on the square loop that is given by Faraday's law. [8 points] t I(t) To If the current I-Io (constant) and the square loop is now moving away from the z-axis with constant velocity uo -uof (where uo- dr/dt), derive an expression for the voltages Vi and V2, applying Faraday's law. Clearly indicate the polarity of the electromotive force on the square loop that is given by Faraday's law. [8 points] Uo r(t) If the line current is interrupted by two parallel plates forming a capacitor, as shown in the figure below, let the voltage across the capacitor be Ve(t) and the associated electric field: Vc(t) Is there a displacement current between the plates of the capacitor, despite the fact that there is nothing but free space between the plates? If there is a displacement current, what is its relation with I(t)1 [4 points] I(t)

Answer 1

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