Physics 1402 Final Exam Review ( must show all work on questions) 1. Definitions Electromagnet Permanent magnet Hysteresis Mutual Induction Magnetic declination Chromatic dispersion Poynting vector Polarization 2. Sketch the magnetic field of: Bar Magnet Horseshoe Magnet Current loop Straight wire with current running The Earth The Sun Solenoid Toroid 3. A positive charge, +Q, Is located at (4,0). A negative charge of -40 is located at (7,3). What is the electric field at the origin? 4. Derive an expression for the electric field a distance z above a circular ring carrying a constant line charge. You must show all steps to receive full credit. 5. Find the electrostatic force between an electron and a proton in a typical hydrogen atom. 6. In the Bohr model of the hydrogen atom, the electron's centripetal acceleration maintains a stable orbit. Derive an expression for the velocity of an electron in this model.7. Use Gauss' Law to find the electric field of the following charge distributions: (a) a point charge (b) a solid sphere of uniform charge density (c) a hollow sphere with uniform charge density (d) a line of charge (e) an infinite sheet of charge (f) a conducting surface (g) compare the electric fields of a point charge, a line charge, and a sheet of charge 8. A proton traveling at 23 with respect to the direction of a magnetic field of strength 2.60 mT experiences a magnetic force of 6.5 x 10-17 N. (a) Determine the proton's speed (b) Determine the proton's kinetic energy ". Light traveling through air is incident on a two-layer medium, with n1 = 1.3, n2 = 1.5. If the incident angle is 420, what is the exit angle back into the air? 11. . Explain J.J. Thomson's apparatus for measuring the ratio of mass to charge for the electron. Derive m/q, and express it in terms of beam length, E and B fields, and vertical deflection. 12. A rectangular loop of wire, supporting a mass m, hangs vertically with one end in a uniform magnetic field. For what current I, in the loop, would the magnetic force upward exactly balance the gravitational force downward? In which direction must the magnetic field be oriented? 13. Write and explain in detail Maxwell equations. Include a detailed discussion and derivation of the displacement current. 14. Discuss the electrical-mechanical analogy for oscillating systems, comparing the differential equations and identifying corresponding terms15. Derive the force with which the plates in a parallelplate capacitor attract each other. 16. A cyclotron is Operated at an oscillator frequency of 12 MHz and has a radius of 53cm. (a) What is the magnitude of the magnetic eld needed for deuterons to be accelerated in the cyclotron? (b) What is the resulting kinetic energy of the deuterons? 1?. Explain the Standard Model. Include a discussion of all the fundamental particles and force carriers. Describe the range and strength of the forces. 18. An isolated conducting sphere whose radius is 6.85cm has a charge q = 1.25 nC. (a) How much potential energy is stored in the electric eld of this charged conductor? {b} What is the energy density at the surface of the sbhere? (c) What is the radius R of an imaginary spherical surface such that half of the stored potentialbergy lies with it? 19. An insect of height H sits cautiously before a spherical mirror whose focal length is |40cm | . The image of the tarantula produced by the mirror has the same orientation as the tarantula and has a heigh H'=.20H. (a) Is the image real or virtual, and is it on the same side of the mirror as the tarantula or the opposite side? (b) Is the mirror concave or convex, and what is its focal length f, sign included