Electric machinery fundamentals
Electric machinery fundamentals
5th Edition
ISBN: 9780073529547
Author: Chapman, Stephen J.
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 1, Problem 1.20P

Demonstrate that Equation (1-59) can be derived from Equation (1-58) using simple trigonometric identities. p ( t ) = v ( t ) i ( t ) = 2 V I cos ω t cos ( ω t θ ) ( 1 58 ) p ( t ) = V I cos θ ( 1 + cos 2 ω t ) + V I sin θ sin 2 ω t ( 1 59 )

Hint: The following identities will be useful: cos α cos β = 1 2 [ cos ( α β ) + cos ( α + ) ] cos ( α β ) = cos α cos β + sin α sin β

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A lossless uncharged transmission line of length L = 0.45 cm has a characteristic impedance of 60 ohms.  It is driven by an ideal voltage generator producing a pulse of amplitude 10V and width 2 nS.  If the transmission line is connected to a load of 200 ohms, sketch the voltage at the load as a function of time for the interval 0 < t < 20 nS.  You may assume that the propagation velocity of the transmission is c/2. Answered now answer number 2. Repeat Q.1 but now assume the width of the pulse produced by the generator is 4 nS. Sketch the voltage at the load as a function of time for 0 < t < 20 nS.

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