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Understanding Magnetic Fields and Light Polarization in Capacitors

This article explores the physics behind a parallel plate capacitor supplied by a steady current, detailing the interactions of magnetic fields within circular loops drawn around the current supplying wire and between the capacitor plates. It also examines the behavior of unpolarized light as it passes through a series of polarizers, including scenarios where the intensity varies according to the configuration of the apparatus. Essential for students of electromagnetism and optics, this discussion illustrates fundamental concepts in electromagnetic fields and light polarization.

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Understanding Magnetic Fields and Light Polarization in Capacitors

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  1. A parallel plate capacitor is being supplied with a steady current. Circular loop A is drawn around the wire supplying current to the capacitor. Circular loop B is drawn between the parallel plates of a capacitor. Both loops are centered upon the axis of symmetry. The plates are closely-spaced (drawing expanded for clarity). The magnitude of the path integral of the magnetic field around loop B must be Zero. Greater than zero, but less than that for A. Equal to that for A. Undeterminable without more information. 1 of 3 A B + − + − I + − + − + + − + − + − + − 2

  2. A polarizer P and polarization analyzer A intercept a beam of initially unpolarized light. The transmission axis of A is perpendicular to that of P. The intensity of light emerging from A is Zero. One-eighth the incident amount. One-quarter the incident amount. One-half the incident amount. Equal to the incident amount. 2 of 3 P A UNPOLARIZED LIGHT LIGHT PROPAGATION DIRECTION 3

  3. A polarizer P and polarization analyzer A intercept a beam of initially unpolarized light. The transmission axis of A is perpendicular to that of P. In between P and A is a second polarizer P2. Its transmission axis is 45 deg rotated with respect to that of P. The intensity of light emerging from A is Zero. One-eighth the incident amount. One-quarter the incident amount. One-half the incident amount. Equal to the incident amount. 3 of 3 P P2 A q UNPOLARIZED LIGHT LIGHT PROPAGATION DIRECTION 4

  4. A parallel plate capacitor is being supplied with a steady current. Circular loop A is drawn around the wire supplying current to the capacitor. Circular loop B is drawn between the parallel plates of a capacitor. Both loops are centered upon the axis of symmetry. The plates are closely-spaced (drawing expanded for clarity). The magnitude of the path integral of the magnetic field around loop B must be Zero. Greater than zero, but less than that for A. Equal to that for A. Undeterminable without more information. 1 of 3 A B + − + − I + − + − + + − + − + − + − 6

  5. A polarizer P and polarization analyzer A intercept a beam of initially unpolarized light. The transmission axis of A is perpendicular to that of P. The intensity of light emerging from A is Zero. One-eighth the incident amount. One-quarter the incident amount. One-half the incident amount. Equal to the incident amount. 2 of 3 P A UNPOLARIZED LIGHT LIGHT PROPAGATION DIRECTION 7

  6. A polarizer P and polarization analyzer A intercept a beam of initially unpolarized light. The transmission axis of A is perpendicular to that of P. In between P and A is a second polarizer P2. Its transmission axis is 45 deg rotated with respect to that of P. The intensity of light emerging from A is Zero. One-eighth the incident amount. One-quarter the incident amount. One-half the incident amount. Equal to the incident amount. 3 of 3 P P2 A q UNPOLARIZED LIGHT LIGHT PROPAGATION DIRECTION 8

  7. PROJECTION SCREEN 1 1 1 1 4 4 4 4 5 5 5 5 2 2 2 2 3 6 3 6 3 6 3 6 HAND IN TODAY’S ACTIVITIES SHEETS 9

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