. Electronic apparatus for biological research. Electronic apparatus and appliances; Biology -- Research. Now let INDUCTANCES, CAPACITANCES AND RESISTANCES 1 CO. (LC) JQ 1/2 CO, Zj, = M^L a> J+Q CO coj At co/cOg = 1, this is approximately equal to co^LQ if Q is large. Putting cOg back in terms of L and C, and Q back in terms of L, C, and R, we see that MJMg = 1, Zj, = Ll(CR), as before. Further, we have \Z-p\ = ^oL co^ .CO + Q' i + e 1/2 cOqL is a constant of the circuit. The impedance function for a parallel reso- nant circuit is plotted in the form \Zj\jcOgL as a function of frequency, fo
. Electronic apparatus for biological research. Electronic apparatus and appliances; Biology -- Research. Now let INDUCTANCES, CAPACITANCES AND RESISTANCES 1 CO. (LC) JQ 1/2 CO, Zj, = M^L a> J+Q CO coj At co/cOg = 1, this is approximately equal to co^LQ if Q is large. Putting cOg back in terms of L and C, and Q back in terms of L, C, and R, we see that MJMg = 1, Zj, = Ll(CR), as before. Further, we have \Z-p\ = ^oL co^ .CO + Q' i + e 1/2 cOqL is a constant of the circuit. The impedance function for a parallel reso- nant circuit is plotted in the form \Zj\jcOgL as a function of frequency, for various Q, in Graph 25. Shunt damping We often need to control the damping of a resonant circuit, and this is conveniently achieved by varying the amount of resistance present. Hitherto we have considered the damping resistance as being in series with the induc- tance, because this condition must obtain with real components, being the resistance of the inductor winding. However, if the damping on a given resonant circuit is insufficient we can get more by connecting additional resistance in series with the inductor, or by connecting resistance across it. (b) Figure (or across the capacitance). When a resistance is connected across one of the reactive elements the circuit is said to be 'shunt damped'; thus the circuits of Figure are equivalent. The amount of shunt damping required is suggested by the fact that a parallel resonant, series-damped circuit con- taining resistance R behaves as a resistance R' = LfCR {Figure ). Thus, 80. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Donaldson, Peter Eden Kirwan. New York, Academic Press
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