Lab Summary for Parallel Resonant Circuits and Self Resonance of Inductors, Lab Reports of Electrical and Electronics Engineering

Download Lab Summary for Parallel Resonant Circuits and Self Resonance of Inductors and more Lab Reports Electrical and Electronics Engineering in PDF only on Docsity! 1Lab Summary Lab #6 Overall Goals: To understand the following • Parallel resonant circuits including QP and bandwidth. • Self resonance of inductors • Practical application of Fourier Series RL L Inductor vovin R1 CProbeC1 L vovin R1 R C Equivalent RLC circuit Assumes ideal inductor with RL =0 Loss in Inductors and the Equivalent Parallel Circuit All electrical components (except for superconducting elements) have loss. In particular, inductors have a rather high loss due to the resistance of the windings. The parallel resonant circuit at the left below shows the series resistance of the inductor. This circuit is difficult to analyze so it is common to replace it with the equivalent circuit to the right. It is important to note that when RL decreases, the energy loss in the inductor decreases. For the equivalent circuit to the right, the energy loss decreases when R increases. Experiment A 2Lab Summary Measurement of R in the Equivalent Parallel Circuit At resonance the impedance of the equivalent parallel circuit is R. Therefore we can measure R using the circuit shown above. R1 ZpVin Vout Ω=⇒ Ω+ = ≈ + = + = k4.1R 2.7kR R .34V/V0 Therefore, ;V/V34.0 V V measured I RR R RZ Z V V :resonance At in out 11p p in out Measurement of Resonant Frequency The measurement circuit is to the right. The input frequency is increased to maximize Vout which occurs at the resonant frequency. R1 = 2.7kΩ. • I measured f0 = 90.8kHz. QP and Bandwidth setup. lab the using 4.5kHzabout measured I :kHz7.3 5.24 kHz8.90 Q f B :6.46 Eq. gsinU 5.24 H100kHz8.902 k4.1 Lf2 R Q :6.41 Eq. gsinU p 0 0 p === = µ××π Ω= π =