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Unformatted text preview: phasors: a) F = j2 b) F = 3e-jπ/6 c) F = j2 + 3e-jπ/6 Problem 5 : Kudeki 4.6 Using the phasor method, determine the current i(t): 5cos(5t) A 5 Ω 1 H i(t) Problem 6 : Kudeki 4.7 (with some modifications) Using the phasor method, determine the phasor voltages V1 , V2 , and V3 . Express these voltages in exponential form. Assuming w = 1 rad/sec, find V1(t), V2(t), and V3(t). Problem 7 : Bandpass Filter Exercise a) Using the phasor method, determine the frequency response H(w) of the system above. Find the magnitude |H(w)| and the phase <H(w) b) Show the following is true: i) |H(w)| = 1 when LC w / 1 = ii) |H(w)| = 0 when → w iii) |H(w)| = 0 when ∞ → w c) Using results from (b), sketch the magnitude plot |H(w)| vs. angular frequency w. 2 V -j Ω 2 Ω 1 Ω j2 Ω 1e j 90° A V1 V2 V3 C L R + v O (t) - + v i (t) -...
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- Fall '07
- Trigonometry, Periodic function, Mathematical analysis, Inverse function, Leonhard Euler, Euler's formula