In the filter circuit shown in Figure P6.25: RS=5 kΩ C=0.5 nF R⊥=5 kΩ L=1 mH De

# Solution to Filter Circuit Analysisu000Au000AStep 1:u000ALetu0027s identify the circuit configuration. From th

In the filter circuit shown in Figure P6.25: RS=5 kΩ ...

In the filter circuit shown in Figure P6.25: $$ \begin{array}{ll} R_S=5 \mathrm{k} \Omega & C=0.5 \mathrm{nF} \\ R_{\perp}=5 \mathrm{k} \Omega & L=1 \mathrm{mH} \end{array} $$ Determine: a. An expression for the voltage transfer function: $$ H_i(j \omega)=\frac{\mathbf{V}_t(j \omega)}{\mathbf{V}_i(j \omega)} $$ b. The resonant frequency. c. The cuboff frequencies. d. The magnitude of the voltage transfer function (gain) at the two cuboff frequencies and the resonant frequency. c. The bandaidh and $Q$. f. The magnitude of the voltage transfer function at high, resonamt, and low frequencies without using the expression above.

In the filter circuit shown in Figure P6.25:

$$
\begin{array}{ll}
R_S=5 \mathrm{k} \Omega & C=0.5 \mathrm{nF} \\
R_{\perp}=5 \mathrm{k} \Omega & L=1 \mathrm{mH}
\end{array}
$$

Determine:
a. An expression for the voltage transfer function:

$$
H_i(j \omega)=\frac{\mathbf{V}_t(j \omega)}{\mathbf{V}_i(j \omega)}
$$

b. The resonant frequency.
c. The cuboff frequencies.
d. The magnitude of the voltage transfer function (gain) at the two cuboff frequencies and the resonant frequency.
c. The bandaidh and $Q$.
f. The magnitude of the voltage transfer function at high, resonamt, and low frequencies without using the expression above.

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