Lecture%2032%202220%20Spring%202009

Lecture%2032%202220%20Spring%202009 - 1 Reminders and...

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Unformatted text preview: 1 Reminders and Announcements • Exam 2 results are posted (with curve) • HW 19 is due Friday (will be posted this afternoon afternoon) • Help Room Hours (Physics 117): – M 4-8 pm, T 3-6:30, W 3-6:30, R 4:30-8, F 2-6 Maxwell’s Equations • Led to prediction of the electromagnetic (em) spectrum • Showed that electricity and magnetism are Showed that electricity and magnetism are different aspects of the same thing (forces unified) • Motivated Einstein’s theory of relativity Wave Equation ∂ ∂ ∂ ∂ E x B t = − ∂ ∂ μ ε ∂ ∂ B x E t o o = − ∂ ∂ μ ε ∂ ∂ 2 2 2 2 E x E t o o = ∂ ∂ μ ε ∂ ∂ 2 2 2 2 B x B t o o = Plane em Waves • We will assume that the vectors for the electric and magnetic fields in an em wave have a specific space- time behavior that is time behavior that is consistent with Maxwell’s equations • Assume an em wave that travels in the x direction with E and B as shown Properties of em Waves • The solutions of Maxwell’s third and fourth equations are wave-like, with both E and B satisfying a wave equation • Electromagnetic waves travel at the speed of light: – This comes from the solution of Maxwell’s equations – Substituting the values for μ o and ε o gives c = 2.99792 x 10 8 m/s 1 o o c μ ε = • The simplest solution to the partial differential...
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Lecture%2032%202220%20Spring%202009 - 1 Reminders and...

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