Material Testing using Scientific Method - Desklib
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This presentation covers the topics of superposition, Thevenin equivalent circuits, RLC series circuits, and SI unit conversions in material testing using scientific method. It includes circuit diagrams, calculations, and final results. Desklib offers solved assignments, essays, and dissertations on these topics.
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MATERIAL TESTING USING SCIENTIFIC METHOD
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SuperpositionSuperposition This is a technique that is used in the analysis of the circuit. ItThis is a technique that is used in the analysis of the circuit. It includes turning off all the sources except 1.Addition is laterincludes turning off all the sources except 1.Addition is later done.done. Thevenin Equivalent CircuitsThevenin Equivalent Circuits Allows replacement of a circuit at a given terminal of two pointsAllows replacement of a circuit at a given terminal of two points within the voltage source.within the voltage source.
SuperpositionSuperposition Since resistors are non linear elements, theSince resistors are non linear elements, the produced output is related linearly to the input.produced output is related linearly to the input. Addition of voltages around the loop can be done.Addition of voltages around the loop can be done. Description becomes that voltage across the resistorDescription becomes that voltage across the resistor is the algebraic sum.is the algebraic sum. Contribution of each source can be another way ofContribution of each source can be another way of circuit analysis.circuit analysis.
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Superposition 2Superposition 2 Consideration is given to only oneConsideration is given to only one independent source.independent source. A wire at 0 v is used for replacementA wire at 0 v is used for replacement Open loop circuit replace current sources.Open loop circuit replace current sources. The circuit variables controls independentThe circuit variables controls independent sources hence they are left intact.sources hence they are left intact.
Superposition 3Superposition 3 In order to solve any circuit usingIn order to solve any circuit using superposing method, there is need ofsuperposing method, there is need of repetition of independent sourcesrepetition of independent sources .Algebraic sum will assist in getting the.Algebraic sum will assist in getting the total voltage.total voltage.
Circuit diagramCircuit diagram Data B1=7VB2=10VR1=4ΩR2=6ΩR3=6Ω
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CalculationsCalculations using one battery sourceusing one battery source 12 Re12 6*6 Re3 66 1Re 43 7 1 11 flowwing to R1=I1=1 flowwing to R2=I2=0.5 flowwing to R3=I3=0.5 R R RR RtotalR Rtotal B IA Rtotal current current current
Calculation using 2Calculation using 2ndndsourcesource 32 Re32 4*6 Re2.4 46 1Re 2.46 8.4 1 31.19 flowwing to R3=I3=1.19A flowwing to R2=I2=0.092A flowwing to R1=I1=0.714A R R RR RtotalR Rtotal B IA Rtotal current current current
Final ResultsFinal Results TOTAL CURRENT THROUGH R1=0.286A TOTAL CURRENT THROUGH R2=0.96A TOTAL CURRENT THROUGH R1=0.69A
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Thevenin Equivalent CircuitsThevenin Equivalent Circuits It is made up of resistor series that isIt is made up of resistor series that is combined with voltage source.combined with voltage source. This normally useful in the black boxThis normally useful in the black box provision.provision.
Finding a TECFinding a TEC Procedure:Procedure: Perform load disconnection in the open circuit so asPerform load disconnection in the open circuit so as to calculate voltage.to calculate voltage. Obtain equivalent resistance in the circuit throughObtain equivalent resistance in the circuit through replacing current sources that are independent andreplacing current sources that are independent and remove voltage sources.remove voltage sources.
calculationscalculations 21 =10-7=3V R1 and R3 are parallel to each other so their Equilance Resistatance will beEqual to 3 1 Re2.4 31 0.8 V placing it in the above circuit dia EthevwnonBB Now R R RR Ethevenon By gram .8 Ithevenon=0.095 2.4 is the total current that flow through load resistance and is equal to.095A EthevenonA RthevenonRload Ithevenon
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How complex wave are produce from sinusoidal waveform in common electrical devices like iron cored inductor, switching transformer Creation of complex waveforms is by use of electrical gadgets A good example is in the cases of exchanging transformers with inductive loads. The result obtained is that the current wave form may not be sinusoidal.
RLC series CircuitRLC series Circuit There is normally a restriction in the game plan of RLC.This affect capacitance and inductance relationship. The three fundamental standoff are obtained here.This include the following: Capacitance ,Inductance and resistance.
RLC series circuitRLC series circuit The Phase Difference, Φ is dependent on the estimation of responsive parts being used. The reactance will definitely be zero. This because part of the circuit is resistive. Variation of the circuit segment is from positive to negative.
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RLC series circuitRLC series circuit The total confinement of a flood of current is referred to as the impedance of a circuit. The drawing of the triangle for impedance for any RLC plan is achieved through side isolation.
RLC series circuitRLC series circuit The voltage drop over the resistive segment can be compared with the formula ,I*R.In responsive parts ;I*X = I*XL – I*XC .This gives a proportionate voltage source. The obtained edge will be 0.
RLC series circuitRLC series circuit
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RLC series circuitRLC series circuit 2222 22*3.14*50*0.5157 113.185 22*3.14*50*100 Impedance Z=(XLXC)14(1573.185)157.62 100.063 157.62 *0.888 *9.96 *26 XLfL XCE fC Circuit RE Vs IA Z VRIRV VLIXLV VCIXCEV
SI units Conversion 9 9 1. 0.260kilopascal to pascal .2601000=260 pascal 2.0.976gram to nanogram .97610976000000 10 3. 2.65 gigaliter to megaliter 2.651000=2650megaliter 4.94.6 microliter to nanogram 6 12 liter 94.610=9.46E-5liter 5.145femtometerto millimeter 14510=1.45E-10 milimeter
ReferenceReference [1]R. Feynman and O. To, “RLC Circuits,” pp. 1–6, 1988. [2]T. G. Solution, “The RLC Circuit,” pp. 1–2, 2001. [3]R. Circuits and R. Circuits, “R-L-C Circuits and Resonant Circuits,” pp. 1–9. [4]S. Liao, P. Dourmashkin, and J. Belcher, “Chapter 12 Alternating- Current Circuits,”Web.Mit.Edu, pp. 1–41, 2004. [5]B. Leads and R. Leads, “Experiment 10 ~ RLC Series circuit,” pp. 1–4. [6]R. F. Mould, “Chapter 13,” pp. 203–206, 2000. [7]“Chapter 21 : RLC Circuits Voltage and Current in RLC Circuits,” pp. 1–33.
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