Question

Question 4 Consider an infinite line current I along the z-axis, which produces a magnetic field: in the surrounding free space (#0, μ0). Close to the current, there is a square loop (of dimensions d x d), which has two resistors R1-5Ω and R2-100. 1. If the current I-Io cos(ut) and the square loop is at a fixed distance ro from the current, derive an expression for the voltages Vi and Vi, 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] I(t) 2. If the current 1 10 (constant) and the square loop is now moving away from the z-axis with constant velocity uo (where uo- dr/dt), derive an expression for the voltages Vi and V, 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] I-lo r(t) 3. 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: 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)? [4 points] I(t) V.(t)

Answer 1

O-IT 2Tİ 6d da