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- 1- Consider Maxwell's equations with magnetic monopoles. Show that the continuity equation for electric charge (charge conservation) still holds. Show that the magnetic charge also satisfies the continuity equation: 0pm/ot + V. Jm = 0.2. An electron has a speed of 1.4 x 106 m/s. It travels through a 3.8 T magnetic field that is perpendicular to its velocity. An electric field is perpendicular to the B field and the velocity of the electron. The electron's velocity is constant. Find the magnitude of the electric field.Consider a 2-coil (active) detector with an alternating current that creates a changing magnetic field in an exciter coil for a metal detector. Which of the following of Maxwell's equations would best describe the detection of the lost coin under the sand at the beach from the detection coil? a. $E.JA = ▪ 9 b. $B JA = 0 -JOB c. $E.al=- at d. §B • Əl = µ₁(I + €0) at Simplify the above equation, if necessary/possible
- 3/29-2)The induced eddy currents from the lost coin under the sand at the beach will generate a secondary magnetic field (separate from the one generated by the exciter coil). Which of the following of Maxwell's equations would best describe the response field of the lost coin under the sand at the beach? a. $E.0A = 9 €0 b. B.aA = 0 -Ə B at c. $E.al= d. §B • Əl = μ₁(I + €0 E at Simplify the above equation, if necessary/possible5. Positive charged particles travel undeflected through magnetic and electric fields that are perpendicular to each other. The magnetic field strength is 6.50x10¹ T and the strength of the electric field is 2.10x105 N/C assuming the charged particles are traveling perpendicular to these fields what is the speed of the charged particles?
- 3 - In a region the electric field is given as E = V(x2y/3), find the charge density p and the magnetic field B?1. How does induced magnetism work with magnetic induction and magnetic domain?893. An electron moving in a circle at high speed generates a polarized electromagnetic wave called synchrotron radiation. Which of the following gives all possible orientations of the magnetic field, for any synchrotron radiation produced by the electron below? A. a only B. b only C. c and b only D. a, b, and c k b AC a A. a only B. b only C. c and b only D. a, b, and c b 894. Which of the following gives possible directions of propagation for any synchrotron radiation produced by the electron in the previous question?