[전기전자공학]전기전자공학 연습문제풀이 6장

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전기전자공학 6장 연습문제풀이 입니다.

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Problem 6.50
Solution:
Known quantities:
Figure P6.50.
Find:
What kind of filters are the ones shown in Figure P6.50.
Analysis:
In a), as frequency increases, the impedance of the capacitor decreases and the impedance of the inductor
increases. Both effects cause the magnitude of the output voltage to decrease so this is a 2nd order low pass
filter. Note that L and C are connected neither in series nor parallel and do not form a resonant circuit.
In b), L and C are connected in series and form a series resonant circuit with an impedance which is
minimum at the resonant frequency and larger above and below the resonant frequency. This series
resonant circuit is in series with the output giving, because of voltage division, a maximum output voltage
at the resonant frequency and less at higher and lower frequencies. Therefore, b) is a band-pass filter.
In c), L and C are connected in parallel and form a parallel resonant circuit with an impedance which is
maximum at the resonant frequency and smaller above and below the resonant frequency. This parallel
resonant circuit is in parallel with the output giving, because of voltage division, a maximum output at the
resonant frequency and less at higher and lower frequencies. Therefore, c) is a band-pass filter.
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