linearly_polarized_wave - B 3 , including algebraic signs...

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Linearly Polarized Wave Given: F i n d : 2 3 / 10 2 . 4 m W x I ? GHz f 43 . 1 + {(i = t) E(z, t) w + z cos(k E } j)/sqrt(2) 0 The electric field of an electromagnetic wave in vacuum has the following form (with boldface i , j , and k being the unit vectors in the + x , + y , and + z directions and italicized k being the wave number): E ( z , t ) = {( i + j )/sqrt(2)} E 0 cos( k z + t ) where the time-averaged intensity of the wave is I = 4.2 x 10 -3 W/m 2 and its frequency is f = 1.43 GHz. (a) In what direction is this wave propagating? (Answer by giving a number from the list below.) + x = (1) - x = (2) + y = (3) - y = (4) + z = (5) - z = (6) (b) Find the electric field amplitude E 0 . (c) Find the wave number. (d) Find the angular frequency. (e) Find the period. The associated magnetic field has the form: B ( z , t ) = ( i B 1 + j B 2 + k B 3 ) cos( k z + t ) (f) Find the amplitudes B 1 , B 2 , and
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Unformatted text preview: B 3 , including algebraic signs and units. Solutions a.) To find Direction we can use the following formula: t) w + z cos(k Direction = - Z b.) To find we can use the following formula: E 2 2 1 E c I 2 c I E c.) To find k we can use the following formula: k c f 2 c f c k 2 c f k 2 d.) To find we can use the following formula: f 2 e.) To find T we can use the following formula: f T 1 f.) To find we can use the following formula: 1 B 2 B 3 B 3 1 2 2 2 2 2 c I c c I c E B 3 1 c I B 3 2 2 2 2 2 2 c I c c I c E B 3 2 c I B 3 B...
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linearly_polarized_wave - B 3 , including algebraic signs...

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