Physics

Physics

Problem

21N.2.HL.TZ0.5 A square loop of side 5.0 cm enters a region of uniform magnetic field at t=0t = 0. The loop exits the region of magnetic field at t=3.5 st = 3.5\ \text{s}. The magnetic field strength is 0.94 T and is directed into the plane of the paper. The magnetic field extends over a length 65 cm. The speed of the loop is constant. a. Show that the speed of the loop is 20 cm s−120\ \text{cm s}^{-1}. [1] b.i. Sketch, on the axes, a graph to show the variation with time of the magnetic flux linkage Φ\Phi in the loop. [1] b.ii. Sketch, on the axes, a graph to show the variation with time of the magnitude of the emf induced in the loop. [1] c.i. There are 85 turns of wire in the loop. Calculate the maximum induced emf in the loop. [2] c.ii. The resistance of the loop is 2.4 Ω2.4\ \Omega. Calculate the magnitude of the magnetic force on the loop as it enters the region of magnetic field. [2] d.i. Show that the energy dissipated in the loop from t=0t = 0 to t=3.5 st = 3.5\ \text{s} is 0.13 J0.13\ \text{J}. [2] d.ii. The mass of the wire is 18 g18\ \text{g}. The specific heat capacity of copper is 385 J kg−1 K−1385\ \text{J kg}^{-1}\ \text{K}^{-1}. Estimate the increase in temperature of the wire. [2]

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