Introduction The oftenness chemical reaction is a representation of the carcasss chemical reaction to curving stimulant drugs at varying frequencies. The sidetrack of a linear system to a sinusoidal input is a sinusoid of the alike(p) frequency but with a distinct order of magnitude and physique. The frequency response is defined as the magnitude and phase passings betwixt the input and output sinusoids. The frequency response comprises of twain move: 1. Gain Response 2.Phase Response The frequency response of a system enkindle be viewed two different ways: via the Bode patch or via the Nyquist plot. Both methods queer the like study; the difference lies in the way the information is presented. These will be discussed in more detail in the theory section of this report. The spell design is shown below: tour of duty: Functional Role of the Circuit The rotary place be viewed as a potential divider network. Shown in figure 2 The reactance o f the capacitor is given as The circuit as a low pass get through. A prototypical order, low pass RC filter is simply an RC series circuit across the input, with the output taken across the capacitor. We assume that the output of the circuit is not connected, or connected only to gritty impedance, so that the current is the same in both R and C.
The potency across the capacitor is IXC = I/wC. The voltage across the series faction is IZRC = I(R2 + (1/wC)2)1/2, so the gain is From the phasor diagram for this filter, we see that the output lags the input in phase. At the angulate frequency w = wo = 1/RC, the capacitive reactance 1/wC e! quals the foe R. We show this characteristic frequency on all graphs on this page. For instance, if R = 1 kW and C = 0.47 mF, then 1/RC = wo... If you want to get a full-of-the-moon essay, order it on our website:
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