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Unformatted text preview: z = d /2 and the upper plate at z = + d /2. The lower plate carries a charge density σ and the upper plate carries a charge density + . Determine all nine elements of the stress tensor and use them to determine the force on the upper plate. 6. Show that the standing wave f ( z , t ) = A sin ( kz ) cos( kvt ) satisfies the wave equation and express it as the sum of a wave traveling along + z and one traveling along z . (Hint: You will need a trigonometric identity.) 7. Consider two wave functions given by the following expressions: f 1 ( z , t )=4 sin[2 π (0.2 z 3 t )] and f 2 ( z , t )=(1/2.5) sin(7 z + 3.5 t ). For each wave, calculate the angular frequency, propagation number, period, amplitude, speed, and direction of propagation. 8. Write the expression for a harmonic wave of amplitude 10 3 V/m, period 2.2 × 1015 s, and speed 3 × 10 8 m/s. The wave propagates in the negative xdirection and has a value of 10 3 V/m at t = 0 and x = 0....
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This note was uploaded on 02/20/2012 for the course PHYS 1101 taught by Professor Lowellwood during the Fall '10 term at University of Houston.
 Fall '10
 LOWELLWOOD
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