RL Low Pass Filter
The low pass filter can also be obtained using the R-L combination as shown in the diagram.
In this case, the cutoff frequency is,
High Pass Filter
An ideal high pass characteristic is shown in Figure 7
• Stop band extending from = 0 to = c
• Pass band extending from = c to =
RC High Pass Filter
As noted earlier, a high pass RC filter can be constructed by simply reversing the positions of the capacitor and resistor as shown in the diagram.
The output voltage can be determined using voltage divider rule:
At the cutoff frequency: the magnitude response is given by
At f = 0, the reactance Xc of the capacitor is quite high, and the open circuit equivalent can be substituted as shown in the diagram. In this case, Vo = 0 V.
At very high frequencies, the reactance of capacitor Xc is very small and the short circuit equivalent can be substituted as shown in the diagram. The result is Vo = Vi.
The low pass filter can also be obtained using the R-L combination as shown in the diagram.
In this case, the cutoff frequency is,
High Pass Filter
An ideal high pass characteristic is shown in Figure 7
• Stop band extending from = 0 to = c
• Pass band extending from = c to =
RC High Pass Filter
As noted earlier, a high pass RC filter can be constructed by simply reversing the positions of the capacitor and resistor as shown in the diagram.
The output voltage can be determined using voltage divider rule:
At the cutoff frequency: the magnitude response is given by
At f = 0, the reactance Xc of the capacitor is quite high, and the open circuit equivalent can be substituted as shown in the diagram. In this case, Vo = 0 V.
At very high frequencies, the reactance of capacitor Xc is very small and the short circuit equivalent can be substituted as shown in the diagram. The result is Vo = Vi.
Therefore at cutoff frequency R = Xc. The frequency at R = Xc which is determining by:
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