Experiment 6 Parallel RLC Circuits-II PDF
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Al-Muthanna University
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Summary
This document presents an experiment on parallel RLC circuits. The experiment aims to study the characteristics of AC parallel circuits by using a dual beam oscilloscope, function generator, and other equipment. It includes sections on theory, admittance calculations, circuit diagrams, and a detailed procedure for the experiment.
Full Transcript
Experiment 6 Parallel RLC circuits-II Object: To study the characteristic of A.C. parallel circuits Apparatus: 1- Dual beam oscilloscope. 2- Function generator. 3- Resistance box. 4- Capacitance box. 5- Inductance box. 6- Coaxial cable. 7- Connecting wires. Theory A- Admittance: The admittance of a...
Experiment 6 Parallel RLC circuits-II Object: To study the characteristic of A.C. parallel circuits Apparatus: 1- Dual beam oscilloscope. 2- Function generator. 3- Resistance box. 4- Capacitance box. 5- Inductance box. 6- Coaxial cable. 7- Connecting wires. Theory A- Admittance: The admittance of a two terminal network may be expressed as Y=I/V (siemen) Where Y=complex admittance V,I complex voltage, current The complex admittance is expressed as Y=G±JB Where :G=conductance B=suseptance B- The parallel RLC circuit Fig 3.3 illustrate a parallel RLC circuit, where R, L&C are connected in parallel. The current IR following through the resistor R is in phase with applied voltage. IR = V/R= V.G (Amp.) The current IC through the capacitor leads the voltage by 90° and is given by IC=V/XC=V.BC The current IL through the inductance lags the voltage by 90° and is given by IL=V/XL=V.BL a) Circuit b) phasor diagram Fig.1: parallel RLC circuit The total current from the phasor diagram is given by I=√ = √( ) ( √ =V.Y ) Where : XC=1/ɷC XL=ɷL Y = √( ) ( ) From phasor diagram the phase angle Ф is given by Ф= = PROCEDURE 1. Set the function generator to 6 VP.P.(sine wave ,200 Hz) 2. Use values R1=30Ω, L=10mH and C=47 µF. 3. Connect the circuit shown in fig. 1. 4. Using voltmeter find IT, IR , IL and IC 5. Measure the phase shift between applied voltage (v) and the current (i) by oscilloscope for each item. 6. Find phase angle using for the circuit ( ) 7. Draw the phasor diagram of the circuit 8. Compare the result obtained from step 6 with that obtained theoretically. Discussion 1- Is the phase angle as that for RLC series circuit, why? 2- Is the conductance of the coil G the same as 1/R where R is the resistance of the coil ? which is easier to measure experimentally? 3- Comment on the result obtained.