Exam # 3,November 24, 1997Name:_________________The more work shown, the more credit given.Question 1) Write Maxwell’s Equations and give a brief explanation for each.Question 2) A proton travels in a circular path of radius 1 cm in a magnetic field with B= 1.0 T. Calculate:Data:mp = 1.67 x 10-27 kgelectron charge = 1.6 x 10-19 CA) its speed:B) its period of revolution:C) its kinetic energy in electron volts (1 eV = 1.6 x 10-19 J)D) the potential difference through which it would have to be accelerated to achieve this energy.Question 3) In the figure, the long straight wire carries a current of 50 A and the rectangular loop carries a current of 20 A. a) Calculate the resultant force acting on the loop.Assume that a=1 cm, b = 1 cm and L=30 cm.Hint: F = I1 L *B where B = 02Id2 and 0 = 1.3 x 10-6 T*m/A.b) Is the loop being pulled towards the long wire or pushed away from it?Question 4) A long solenoid of radius 25 mm has 200 turns/cm. A single loop of wire of radius 5 cm is placed around the solenoid, the central axes of the loop and solenoid coinciding. In 10 ms, the current is increased from 1 A to 5 A at a uniform rate. What emfappears in the loop? Hint: For a solenoid, B=0 n I where n = # coils / m and 0 = 1.3 x 10-6 T*m/A.ab50 AL20 A20 AQuestion 5) Two inductors L1 and L2 are connected in parallel and separated by a large distance.a) Show that the equivalent inductance is given by1Leq= 1L1 + 1L2b) Why does this relation not hold if the separation is small?c) What is the generalization of N inductors in parallel with large separation
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