Energy Transport in Electromagnetic Plane Wave Fields: E y ( x, t ) = E max sin( kx-ωt ) , B z ( x, t ) = B max sin( kx-ωt ) . Energy density: u ( x, t ) = 1 2 ²0 E 2 y ( x, t ) + 1 2 μ0 B 2 z ( x, t ) . [J/m 3 ] Use the amplitude relations ²0 E 2 max = ²0 c 2 B 2 max = 1 μ0 B 2 max . u ( x, t ) = ²0 E 2 max sin 2 ( kx-ωt ) = 1 μ0 B 2 max sin 2 ( kx-ωt ) = E max B max cμ0 sin 2 ( kx-ωt ) . Energy transported across area A in time dt : dU ( x, t ) = u ( x, t ) Acdt. [J] Power transported per unit area:
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This note was uploaded on 04/30/2008 for the course PHYS 204 taught by Professor Andrevantonder during the Spring '07 term at Rhode Island.