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Chapter 30: Maxwell ’ s Equations and Electromagnetic Waves

Chapter 30: Maxwell ’ s Equations and Electromagnetic Waves. Section 30-1: Maxwell’s Displacement Current.

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Chapter 30: Maxwell ’ s Equations and Electromagnetic Waves

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  1. Chapter 30: Maxwell’s Equations and Electromagnetic Waves Section 30-1: Maxwell’s Displacement Current

  2. A parallel-plate capacitor has closely spaced circular plates of radius R = 2.00 cm. Charge is flowing onto the positive plate at the rate I = dQ/dt = 1.36 A. The magnetic field at a distance r = 2.00 cm from the axis of the plates is approximately • 136 mT • 256 mT • 16.5 mT • 457 mT • 88.3 mT

  3. A parallel-plate capacitor has closely spaced circular plates of radius R = 2.00 cm. Charge is flowing onto the positive plate at the rate I = dQ/dt = 1.36 A. The magnetic field at a distance r = 2.00 cm from the axis of the plates is approximately • 136 mT • 256 mT • 16.5 mT • 457 mT • 88.3 mT

  4. Charge is flowing onto one plate of a parallel-plate capacitor and off the other plate at a rate of 5.00 A. The rate at which the electric field between the plates is changing is approximately • 5.65 ×1011 N · m2/(C · s) • 11.3 × 1011 N · m2/(C · s) • 2.45 × 1011 N · m2/(C · s) • 12.4 × 1011 N · m2/(C · s) • 1.76 × 1011 N · m2/(C · s)

  5. Charge is flowing onto one plate of a parallel-plate capacitor and off the other plate at a rate of 5.00 A. The rate at which the electric field between the plates is changing is approximately • 5.65 ×1011 N · m2/(C · s) • 11.3 × 1011 N · m2/(C · s) • 2.45 × 1011 N · m2/(C · s) • 12.4 × 1011 N · m2/(C · s) • 1.76 × 1011 N · m2/(C · s)

  6. An ac voltage is applied across a capacitor. Which figure best represents the magnetic field between the capacitor?

  7. An ac voltage is applied across a capacitor. Which figure best represents the magnetic field between the capacitor?

  8. An ac voltage, V = 20 V sin (1000 rad/s t) is applied across a capacitor of capacitance C = 40 F. The capacitor is made of two circular plate each of radius r = 5 cm. What is the peak magnetic field at the circumference of the capacitor? • 1.2 T • 1.6.2 T • 3.2 T • 72 T • None of these is correct.

  9. An ac voltage, V = 20 V sin (1000 rad/s t) is applied across a capacitor of capacitance C = 40 F. The capacitor is made of two circular plate each of radius r = 5 cm. What is the peak magnetic field at the circumference of the capacitor? • 1.2 T • 1.6.2 T • 3.2 T • 72 T • None of these is correct.

  10. Chapter 30: Maxwell’s Equations and Electromagnetic Waves Section 30-2: Maxwell’s Equations

  11. Which of the following statements contradicts one of Maxwell's equations? • A changing magnetic field produces an electric field. • The net magnetic flux through a closed surface depends on the current inside. • A changing electric field produces a magnetic field. • The net electric flux through a closed surface depends on the charge inside. • None of these statements contradict any of Maxwell's equations.

  12. Which of the following statements contradicts one of Maxwell's equations? • A changing magnetic field produces an electric field. • The net magnetic flux through a closed surface depends on the current inside. • A changing electric field produces a magnetic field. • The net electric flux through a closed surface depends on the charge inside. • None of these statements contradict any of Maxwell's equations.

  13. If the existence of magnetic monopoles should ever be confirmed, which of the following equations would have to be altered?

  14. If the existence of magnetic monopoles should ever be confirmed, which of the following equations would have to be altered?

  15. Maxwell's equations • imply that the electric field due to a point charge varies inversely as the square of the distance from the charge. • describe how electric field lines diverge from a positive charge and converge on a negative charge. • assert that the flux of the magnetic field vector is zero through any closed surface. • describe the experimental observation that magnetic field lines do not diverge from any point space or converge to any point. • All of these are correct.

  16. Maxwell's equations • imply that the electric field due to a point charge varies inversely as the square of the distance from the charge. • describe how electric field lines diverge from a positive charge and converge on a negative charge. • assert that the flux of the magnetic field vector is zero through any closed surface. • describe the experimental observation that magnetic field lines do not diverge from any point space or converge to any point. • All of these are correct.

  17. Which of the following statements is false? • Isolated electric charges exist. • Electric field lines diverge from positive charges and converge on negative charges. • The flux of the magnetic field vector is zero through any closed surface. • Isolated magnetic poles exist. • Changing electric fields induce changing magnetic fields.

  18. Which of the following statements is false? • Isolated electric charges exist. • Electric field lines diverge from positive charges and converge on negative charges. • The flux of the magnetic field vector is zero through any closed surface. • Isolated magnetic poles exist. • Changing electric fields induce changing magnetic fields.

  19. Which of the following statements is true? • A changing electric field induces a magnetic field. • A changing magnetic field induces an electric field. • Maxwell’s equations predict the speed of light. • Maxwell’s equations predict that light is made up of oscillating electric and magnetic waves. • All the above statements are true.

  20. Which of the following statements is true? • A changing electric field induces a magnetic field. • A changing magnetic field induces an electric field. • Maxwell’s equations predict the speed of light. • Maxwell’s equations predict that light is made up of oscillating electric and magnetic waves. • All the above statements are true.

  21. Chapter 30: Maxwell’s Equations and Electromagnetic Waves Section 30-3: The Wave Equation for Electromagnetic Waves

  22. Which of the following statements is true? • Both the B and the E components of an electromagnetic wave satisfy the wave equation. • The phase of a wave traveling in the negative z direction is kz + wt. • The speed of an electromagnetic wave traveling in a vacuum is given by (0m0)–1/2. • The magnitude of E in an electromagnetic wave is greater than the B magnitude of by a factor of c. • All of these statements are true.

  23. Which of the following statements is true? • Both the B and the E components of an electromagnetic wave satisfy the wave equation. • The phase of a wave traveling in the negative z direction is kz + wt. • The speed of an electromagnetic wave traveling in a vacuum is given by (0m0)–1/2. • The magnitude of E in an electromagnetic wave is greater than the B magnitude of by a factor of c. • All of these statements are true.

  24. Which of the following functions satisfy the one-dimensional wave equation? • y(x, t) = y0 cos(kx – wt) • y(x, t) = y0 sin(kx – wt) • y(x, t) = y0 sin(kx – wt) + B cos(kx – wt) • y(x, t) = y0 (sin kx) · B(cos wt) • All of these functions satisfy the one- dimensional wave equation.

  25. Which of the following functions satisfy the one-dimensional wave equation? • y(x, t) = y0 cos(kx – wt) • y(x, t) = y0 sin(kx – wt) • y(x, t) = y0 sin(kx – wt) + B cos(kx – wt) • y(x, t) = y0 (sin kx) · B(cos wt) • All of these functions satisfy the one- dimensional wave equation.

  26. Which of the following statements is true? • Maxwell's equations apply only to fields that are constant in time. • Electromagnetic waves are longitudinal waves. • The electric and magnetic fields are out of phase in an electromagnetic wave. • The magnitude of E in an electromagnetic wave is greater than the B magnitude of by a factor of c. • All of the above statements are true.

  27. Which of the following statements is true? • Maxwell's equations apply only to fields that are constant in time. • Electromagnetic waves are longitudinal waves. • The electric and magnetic fields are out of phase in an electromagnetic wave. • The magnitude of E in an electromagnetic wave is greater than the B magnitude of by a factor of c. • All of the above statements are true.

  28. Chapter 30: Maxwell’s Equations and Electromagnetic Waves Section 30-4: Electromagnetic Radiation

  29. The visible portion of the electromagnetic spectrum is closest to which of the following intervals? • 200 to 500 nm • 300 to 600 nm • 400 to 700 nm • 500 to 800 nm • 600 to 900 nm

  30. The visible portion of the electromagnetic spectrum is closest to which of the following intervals? • 200 to 500 nm • 300 to 600 nm • 400 to 700 nm • 500 to 800 nm • 600 to 900 nm

  31. Electromagnetic waves that have a wavelength of 300 m in free space have a frequency of • 1 × 10–3 Hz • 5 × 105 Hz • 1 × 106 Hz • 9 × 106 Hz • 1 × 1011 Hz

  32. Electromagnetic waves that have a wavelength of 300 m in free space have a frequency of • 1 × 10–3 Hz • 5 × 105 Hz • 1 × 106 Hz • 9 × 106 Hz • 1 × 1011 Hz

  33. What is the frequency of 555-nm light? • 16.7 kHz • 5.40 × 1014 Hz • 5.40 × 1015 Hz • 1.70 × 107 Hz • 5.40 × 1017 Hz

  34. What is the frequency of 555-nm light? • 16.7 kHz • 5.40 × 1014 Hz • 5.40 × 1015 Hz • 1.70 × 107 Hz • 5.40 × 1017 Hz

  35. The wavelength of a 150-MHz television signal is approximately • 1.0 m • 1.5 m • 2.0 m • 2.0 cm • 50 cm

  36. The wavelength of a 150-MHz television signal is approximately • 1.0 m • 1.5 m • 2.0 m • 2.0 cm • 50 cm

  37. The wavelength of a 63.7-MHz electromagnetic wave is approximately • 1.0 m • 4.7 m • 6.8 m • 7.2 cm • 50 cm

  38. The wavelength of a 63.7-MHz electromagnetic wave is approximately • 1.0 m • 4.7 m • 6.8 m • 7.2 cm • 50 cm

  39. Light wave A has twice the frequency of light wave B. The wavelength of light wave A is _____ that of light wave B. • equal to • twice • four times • half • one

  40. Light wave A has twice the frequency of light wave B. The wavelength of light wave A is _____ that of light wave B. • equal to • twice • four times • half • one

  41. Arrange the following types of electromagnetic radiation in order of increasing wavelength: gamma rays, infrared light, ultraviolet light, visible light. • Gamma rays are not electromagnetic radiation. • gamma rays, infrared, visible, ultraviolet • gamma rays, ultraviolet, visible, infrared • visible, ultraviolet, infrared, gamma rays • ultraviolet, visible, infrared, gamma rays

  42. Arrange the following types of electromagnetic radiation in order of increasing wavelength: gamma rays, infrared light, ultraviolet light, visible light. • Gamma rays are not electromagnetic radiation. • gamma rays, infrared, visible, ultraviolet • gamma rays, ultraviolet, visible, infrared • visible, ultraviolet, infrared, gamma rays • ultraviolet, visible, infrared, gamma rays

  43. Of X rays, infrared radiation, and radio waves, which has the longest wavelength and which the shortest? • X rays have the longest, radio waves the shortest. • X rays have the longest, infrared radiation the shortest. • Radio waves have the longest, X rays the shortest. • Radio waves have the longest, infrared radiation the shortest. • Infrared radiation has the longest, X rays the shortest.

  44. Of X rays, infrared radiation, and radio waves, which has the longest wavelength and which the shortest? • X rays have the longest, radio waves the shortest. • X rays have the longest, infrared radiation the shortest. • Radio waves have the longest, X rays the shortest. • Radio waves have the longest, infrared radiation the shortest. • Infrared radiation has the longest, X rays the shortest.

  45. Which of the following groups is arranged in order of increasing wavelength? • infrared, ultraviolet, microwaves • X rays, visible, infrared • gamma rays, ultraviolet, X rays • microwaves, gamma rays, visible • infrared, ultraviolet, gamma rays

  46. Which of the following groups is arranged in order of increasing wavelength? • infrared, ultraviolet, microwaves • X rays, visible, infrared • gamma rays, ultraviolet, X rays • microwaves, gamma rays, visible • infrared, ultraviolet, gamma rays

  47. There are many different regions to the electromagnetic spectrum. These include, (a) visible light, (b) gamma-rays, (c) infra-red, (d) micro-waves, (e) radio-waves, (f) ultra-violet, and (g) X-rays. Put them in order of increasing wavelength, starting with the shortest wavelength first. • bgdafge • bgfadce • bgafcde • bgfacde • bgafdce

  48. There are many different regions to the electromagnetic spectrum. These include, (a) visible light, (b) gamma-rays, (c) infra-red, (d) micro-waves, (e) radio-waves, (f) ultra-violet, and (g) X-rays. Put them in order of increasing wavelength, starting with the shortest wavelength first. • bgdafge • bgfadce • bgafcde • bgfacde • bgafdce

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