Ch 32 Sol spr 08

# Ch 32 Sol spr 08 - ELECTROMAGNETIC WAVES 32 2.07 10 11...

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E LECTROMAGNETIC W AVES 29.35. IDENTIFY: Apply Eq.(29.14), where 0 . K PP SET UP: 3 4 3 / 4(8.76 10 V m/s ) E d dt t . 12 0 8.854 10 F/m. P EXECUTE: 12 11 3 4 3 3 12.9 10 A 2.07 10 F/m. / 4(8.76 10 V m/s )(26.1 10 s) D E i d dt P The dielectric constant is 0 2.34. K P P EVALUATE: The larger the dielectric constant, the larger is the displacement current for a given /. E d dt 32.8. IDENTIFY: For an electromagnetic wave propagating in the negative x direction, max cos( ) E E kx t . 2 f and 2 k . 1 T f . max max . E cB SET UP: The wave specified in the problem has a different phase, so max sin( ) E E kx t . max 375 V/m E , 7 1.99 10 rad/m k and 15 5.97 10 rad/s . EXECUTE: (a) max max 1.25 T E B c . (b) 14 9.50 10 Hz 2 f . 7 2 3.16 10 m 316 nm k . 15 1 1.05 10 s T f . This wavelength is too short to be visible. (c) 14 7 8 (9.50 10 Hz)(3.16 10 m) 3.00 10 m/s cf . This is what the wave speed should be for an electromagnetic wave propagating in vacuum. EVALUATE: 2 2 kk is an alternative expression for the wave speed. 32.10. IDENTIFY: Apply Eqs.(32.17) and (32.19). / fc and 2/ k . SET UP: The wave in this problem has a different phase, so max ( , ) sin( ).

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Ch 32 Sol spr 08 - ELECTROMAGNETIC WAVES 32 2.07 10 11...

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