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Sunday, December 29, 2013

Describe what is meant by Frequency Response in regards to the the magnitude and phase differences between the input and output sinusoids.

Introduction The oftenness solution is a representation of the carcasss repartee to curving stimulant drugs at varying frequencies. The rig of a linear system to a sinusoidal input is a sinusoid of the alike(p) frequency but with a several(predicate) order of magnitude and shape. The frequency response is defined as the magnitude and phase passings betwixt the input and output sinusoids. The frequency response comprises of two 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 draw. Both methods demonstration the like knowledge; 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: rophy: Functional Role of the Circuit The rope place be viewed as a potential divider network. Shown in public figure 2 The reactance of the ca pacitor is given as The circuit as a low pass get through. A front 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 high gear impedance, so that the current is the same in both R and C.
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The emf 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 equals the subway! system 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: OrderCustomPaper.com

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