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ECE2260F09_HW4

# ECE2260F09_HW4 - 2260 F 09 HOMEWORK#4 1 R1 = 30 vi(t vo(t H...

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2260 F 09 HOMEWORK #4 1. v o ( t ) + + v i ( t ) R 1 = 30 ω 10 M 40 M 1.0 0.25 H ( j ω ) 0 ω c2 = 40 M r /s ω 0 = 20 M r /s Given the resistor connected as shown and using not more than one each R, L, and C in the dashed-line box, design a circuit to go in the dashed-line box that will produce the band-reject |H( j ω )| vs. ω shown above. That is: min ω H ( j ω ) = 0 and occurs at ω 0 = 20 M r/s upper cutoff frequency ω c2 = 40 M r/s H ( j ω ) = 1 4 at ω = 0 and lim ω→∞ H ( j ω ) = 1 4

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2. v ( t ) T 2 4V –8V –4V t 3 T 4 T 4 T –12V One period, T , of a function v ( t ) is shown above. The formula for v ( t ) is v ( t ) = 4 V 0 < t < T /4 4 V T /4 < t < T /2 4 V T /2 < t < 3 T /4 12 V 3 T /4 < t < T Find the numerical value of the following coefficients of the Fourier series for v ( t ): (Hint: remove the DC offset after finding its value.)
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