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eet 202

After performing this experiment, you will be able to:Inductor: 100 mH 1 Piece.Resistor: 1 K 1 Piece.Capacitor: 0.047 F 1 Piece.In an RLC parallel circuit, the current in each branch is determined by applied voltage and the impedance of that branch. For an ideal inductor (no resistance), the branch impedance is X and for a capacitor the branch impedance is X. Since X and X are functions of frequency, it is apparent that the currents in each branch are also dependent on frequency. For any given L and C, there is a frequency at which the currents in each are equal and of opposite phase. This frequency is the resonant frequency and is found using the same equation as was used for series resonance.The circuit and the phasor diagram for an ideal parallel RLC circuit at resonance as illustrated in . Some interesting points to be observed are: The total source current at resonance is equal to the current in the resistor. The total current is actually less than the current in either the inductor or the capacitor. This is because of the opposite phase shift which occurs between inductors and capacitors, causing the addition of currents to cancel. Also, the impedance of the circuit is solely determined by R, as the inductor and capacitor appear to be open. In a two-branch circuit consisting of only L and C, the source current would be zero, causing the impedance to be finite, of course, this does not happen with actual components that do have resistance and other effects.In a practical two-branch parallel circuit consisting of an inductor and a capacitor, the only significant resistance is the winding resistance of the inductor. ) illustrates a practical parallel LC circuit containing winding resistance. By network theorems, the practical LC circuit can be converted to an equivalent parallel RLC circuit, as in the ). The equivalent circuit is easier to analyze. The phasor diagram for the ideal parallel RLC circuit can then be applied to the equivalent circuit as was illustrated in F. The equations to convert the inductance and its winding resistance to an equivalent parallel circuit areWhere R represents the parallel equivalent resistance and R represents the winding resistance of the inductor. The Q in the conversion equation is the Q for the inductor.Q = X/ RThe of series circuits was discussed in the previous part in series resonance. Similarly the parallel resonant circuits also respond to a group of frequencies. In parallel resonant circuits, the impedance as a function of frequency has the same shape as the current versus frequency curve for series resonant circuits. The bandwidth of a parallel resonant circuit is the frequency range at which the circuit impedance is 70.7% of maximum impedance. The sharpness of the response to the frequencies is again measured by circuit Q. The circuit Q will be different from Q of the inductor if there is additional resistance in the circuit. If there is no additional resistance in parallel with L and C, then the Q for a parallel resonant circuit is equal to the Q of the inductor.Enter the computed resonant frequency in . Set the generator to the at 1.0 V output as measured with your oscilloscope. Use peak-to-peak values for all voltage measurements in this experiment.parallel LC circuit from; Enter the compounded Q in Enter this as the compounded BW in the Table 5-2-2.That is Enter the computed value in .Complete by listing the computed impedance Z.

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