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Page 1 ELECTROMAGNETIC WAVES 1. Electromagnetic Waves 2. Properties of Electromagnetic Waves 3. Hertz Experiment 4. Electromagnetic Spectrum - Wavelength and Frequency Range - Sources and Uses Page 2 ELECTROMAGNETIC WAVES 1. Electromagnetic Waves 2. Properties of Electromagnetic Waves 3. Hertz Experiment 4. Electromagnetic Spectrum - Wavelength and Frequency Range - Sources and Uses Electromagnetic Waves: For a region where there are no charges and conduction current, Faraday’s and Ampere’s laws take the symmetrical form: dF B dt l E . dl = - dF E dt l B . dl = - µ 0 e 0 and Electric and magnetic fields are sources to each other. Electromagnetic wave is a wave in which electric and magnetic fields are perpendicular to each other and also perpendicular to the direction of propagation of wave. It can also be shown that time – varying electric field produces space – varying magnetic field and time – varying magnetic field produces space – varying electric field with the equations: jB z jt = - jE y jx and jE y jt jB z jx = - µ 0 e 0 Page 3 ELECTROMAGNETIC WAVES 1. Electromagnetic Waves 2. Properties of Electromagnetic Waves 3. Hertz Experiment 4. Electromagnetic Spectrum - Wavelength and Frequency Range - Sources and Uses Electromagnetic Waves: For a region where there are no charges and conduction current, Faraday’s and Ampere’s laws take the symmetrical form: dF B dt l E . dl = - dF E dt l B . dl = - µ 0 e 0 and Electric and magnetic fields are sources to each other. Electromagnetic wave is a wave in which electric and magnetic fields are perpendicular to each other and also perpendicular to the direction of propagation of wave. It can also be shown that time – varying electric field produces space – varying magnetic field and time – varying magnetic field produces space – varying electric field with the equations: jB z jt = - jE y jx and jE y jt jB z jx = - µ 0 e 0 Properties of Electromagnetic Waves: 0 X E 0 B 0 Y Z 1. Variations in both electric and magnetic fields occur simultaneously. Therefore, they attain their maxima and minima at the same place and at the same time. 2. The direction of electric and magnetic fields are mutually perpendicular to each other and as well as to the direction of propagation of wave. 3. The electric field vector E and magnetic field vector B are related by c = E 0 / B 0 where E 0 and B 0 are the amplitudes of the respective fields and c is speed of light. Page 4 ELECTROMAGNETIC WAVES 1. Electromagnetic Waves 2. Properties of Electromagnetic Waves 3. Hertz Experiment 4. Electromagnetic Spectrum - Wavelength and Frequency Range - Sources and Uses Electromagnetic Waves: For a region where there are no charges and conduction current, Faraday’s and Ampere’s laws take the symmetrical form: dF B dt l E . dl = - dF E dt l B . dl = - µ 0 e 0 and Electric and magnetic fields are sources to each other. Electromagnetic wave is a wave in which electric and magnetic fields are perpendicular to each other and also perpendicular to the direction of propagation of wave. It can also be shown that time – varying electric field produces space – varying magnetic field and time – varying magnetic field produces space – varying electric field with the equations: jB z jt = - jE y jx and jE y jt jB z jx = - µ 0 e 0 Properties of Electromagnetic Waves: 0 X E 0 B 0 Y Z 1. Variations in both electric and magnetic fields occur simultaneously. Therefore, they attain their maxima and minima at the same place and at the same time. 2. The direction of electric and magnetic fields are mutually perpendicular to each other and as well as to the direction of propagation of wave. 3. The electric field vector E and magnetic field vector B are related by c = E 0 / B 0 where E 0 and B 0 are the amplitudes of the respective fields and c is speed of light. 4. The velocity of electromagnetic waves in free space, c = 1 / vµ 0 e 0 5. The velocity of electromagnetic waves in a material medium = 1 / vµe where µ and e are absolute permeability and absolute permitivity of the material medium. 6. Electromagnetic waves obey the principle of superposition. 7. Electromagnetic waves carry energy as they propagate through space. This energy is divided equally between electric and magnetic fields. 8. Electromagnetic waves can transfer energy as well as momentum to objects placed on their paths. 9. For discussion of optical effects of EM wave, more significance is given to Electric Field, E. Therefore, electric field is called ‘light vector’. 10. Electromagnetic waves do not require material medium to travel. 11. An oscillating charge which has non-zero acceleration can produce electromagnetic waves. Page 5 ELECTROMAGNETIC WAVES 1. Electromagnetic Waves 2. Properties of Electromagnetic Waves 3. Hertz Experiment 4. Electromagnetic Spectrum - Wavelength and Frequency Range - Sources and Uses Electromagnetic Waves: For a region where there are no charges and conduction current, Faraday’s and Ampere’s laws take the symmetrical form: dF B dt l E . dl = - dF E dt l B . dl = - µ 0 e 0 and Electric and magnetic fields are sources to each other. Electromagnetic wave is a wave in which electric and magnetic fields are perpendicular to each other and also perpendicular to the direction of propagation of wave. It can also be shown that time – varying electric field produces space – varying magnetic field and time – varying magnetic field produces space – varying electric field with the equations: jB z jt = - jE y jx and jE y jt jB z jx = - µ 0 e 0 Properties of Electromagnetic Waves: 0 X E 0 B 0 Y Z 1. Variations in both electric and magnetic fields occur simultaneously. Therefore, they attain their maxima and minima at the same place and at the same time. 2. The direction of electric and magnetic fields are mutually perpendicular to each other and as well as to the direction of propagation of wave. 3. The electric field vector E and magnetic field vector B are related by c = E 0 / B 0 where E 0 and B 0 are the amplitudes of the respective fields and c is speed of light. 4. The velocity of electromagnetic waves in free space, c = 1 / vµ 0 e 0 5. The velocity of electromagnetic waves in a material medium = 1 / vµe where µ and e are absolute permeability and absolute permitivity of the material medium. 6. Electromagnetic waves obey the principle of superposition. 7. Electromagnetic waves carry energy as they propagate through space. This energy is divided equally between electric and magnetic fields. 8. Electromagnetic waves can transfer energy as well as momentum to objects placed on their paths. 9. For discussion of optical effects of EM wave, more significance is given to Electric Field, E. Therefore, electric field is called ‘light vector’. 10. Electromagnetic waves do not require material medium to travel. 11. An oscillating charge which has non-zero acceleration can produce electromagnetic waves. Hertz Experiment: Induction Coil Copper or Zinc Plate Metal Rod Metal Rod Metal Spheres Ring P P S S EM Wave Copper or Zinc Plate The copper or zinc plates are kept parallel separated by 60 cm. The metal spheres are slided over the metal rods to have a gap of 2 to 3 cm. Induction coil supplies high voltage of several thousand volts. The plates and the rods (with spheres) constitute an LC combination. An open metallic ring of diameter 0.70 m having small metallic spheres acts as a detector. This constitutes another LC combination whose frequency can be varied by varying its diameter. S 1 S 2 S 1 ’ S 2 ’Read More
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