ECE_311_W12_Homework_2

ECE_311_W12_Homework_2 - Plot v(z,t) on the vertical axis...

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ECE 311 Homework 2 Problem 1. In our class discussion of transmission lines, we defined parameter ( )( ) C j G L j R + + ω γ . Since γ is a complex number, it can be expressed in terms of its real and imaginary parts β α j + = where α is defined as the real part of γ and β is defined as the imaginary part of γ . Consider the special case where . G L C R = Show that β depends only on ω , L , and C . ------------------------------------------------------------------------------------------------------------------- Problem 2. Consider the lossless transmission line voltage phasor ° ( ± ) = ° ² + ³ −´µ¶ + ° ² ³ +´µ¶ . Let ° ² + = 0 , ° ² = 1 °·¸¹ , wavelength λ = 1 cm, frequency f = 10 GHz. On the same graph, plot v(z,t) for t = 0 seconds and t = 25 picoseconds. Plot z on the horizontal axis with the minimum value of z = 0 and the maximum value of z = 3 cm.
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Unformatted text preview: Plot v(z,t) on the vertical axis with the minimum value of v = -1 Volt and the maximum value of v = +1 Volt. Label the horizontal axis with “z (cm)”. Label the vertical axis with “v(z,t) (Volts)”. Use Matlab or equivalent to make nice looking and smooth plots. Use a solid line for the t = 0 (s) plot and use a dashed line for the t = 25 (ps) plot. Use a legend so each plot is clearly identified. -------------------------------------------------------------------------------------------------------------------- Problem 3. ----------------------------------------------------------------------------------------------------------------- Problem 4. Write the load impedance Z L in Ω units....
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This note was uploaded on 03/26/2012 for the course ECE 311 taught by Professor Johnson,j during the Winter '08 term at Ohio State.

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