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Exercise 3 - Induction in a conductor loop (only if presented in lecture, otherwise next week) The first Maxwell equation Eds=-ſſ BdA is also called the law of induction". Assuming a conductor loop, the left term describes the induced voltage, resulting from a line integration along the conductor loop. The term on the right side describes the temporal change of the magnetic flux o = S/BdA-n. Since the flux is determined by the scalar product between the B-field and the surface normal n.dA, one can generate a voltage at the ends of the conductor loop by two different methods. a) Describe the change in flux o mathematically for both methods. Assume a homogeneous magnetic field: dĀ Hint: use the product rule U f(x)=(x)v(v) ► f'(x) ='(x)v(v)+u(x)(v) b) A conductor coil with N = 200 turns rotates with angular velocity o = 3141/s in a homogeneous magnetic field of strength B = 50 mt. The quadratic loop has a side length of 10 cm. Which voltage U can be measured at the loop terminal? 6000000 OB 8888888