PRACTICAL WORK BOOK For Academic Session 0 NETWORK ANALYSIS ( 0347 ) 0 pattern For S.E. (Electrical Engineering) Department of Electrical Engineering (University of Pune)
SHREE RAMCHANDRA COLLEGE OF ENGG. LONIKAND (096) DEPT. : ELECTRICAL ENGG. NETWORK ANALYSIS ( 0347 ) SEM. : II (SE) TITLE: INSTRUCTIONS Do s and Don ts in Laboratory (for students):. Do not handle any equipment before reading the instructions/instruction manuals.. Apply proper voltage to the circuit as given in the procedure. 3. Check CRO probe before connecting it. 4. Strictly observe the instructions given by the teacher/lab Instructor. Guidelines to write your observation book (for students):. Experiment Title, Aim, Apparatus, Procedure should be right side.. Circuit diagrams, Model graphs, Observations table, Calculations table should be left side. 3. Theoretical and model calculations can be any side as per your convenience. 4. Result and Conclusion should always be at the end. 5. You all are advised to leave sufficient no of pages between experiments for theoretical or model calculations purpose. After successful performance of all practical s following process will be done Quiz on the subject. Conduction of Viva-Voce Examination. Evaluation and Marking Systems
SHREE RAMCHANDRA COLLEGE OF ENGG. LONIKAND (096) DEPT. : ELECTRICAL ENGG. NETWORK ANALYSIS ( 0347 ) SEM. : II (SE) TITLE: LIST OF EXPERIMENTS Any four experiments from the first five of the following and any four experiments from rest of the list. (Minimum four experiments should be based on simulation software PSPICE/MATLAB along with hardware verification). Verification of Superposition theorem in A.C. circuits.. Verification of Thevenin s theorem in A.C. circuits. 3. Verification of Reciprocity theorem in A.C. circuits. 4. Verification of Millmans theorem. 5. Verification of Maximum Power Transfer theorem in A.C. circuits. 6. Determination of time response of R-C circuit to a step D.C. voltage input. (Charging and discharging of a capacitor through a resistor) 7. Determination of time response of R-L circuit to a step D.C. voltage input. (Rise and decay of current in an inductive circuit) 8. Determination of time response of R-L-C series circuit to a step D.C. voltage input. 9. Determination of parameter of Two Port Network. 0. Determination of Resonance of R-L-C Parallel circuit. Determination of Resonance, Bandwidth and Q factor of R-L-C series circuit.
SHREE RAMCHANDRA COLLEGE OF ENGG. LONIKAND (096) DEPT. : ELECTRICAL ENGG. NETWORK ANALYSIS ( 0347 ) SEM. : II (SE) EXPERIMENT NO. : SRCOE/ELECT/NA/0 PAGE: - DATE: EXPERIMENT TITLE: SUPERPOSITION THEOREM AIM: Verification of Superposition Theorem in A.C. circuits. APPRATUS: Sr. No Name of the Equipment Specification Quantity Superposition circuit kit Ammeter 3 Voltmeter 4 Connecting wires SUPERPOSITION THEOREM STATEMENT The Superposition Theorem can be used to analyze multi-source AC linear bilateral networks. It may be stated as follows. In any multisource (containing initial condition energy sources of emf or current source) complex network consisting of linear bilateral elements, the responses (loop current or node voltage) caused by the individual sources of the network may be found by determining the algebraic sum of the response (current) at that element while considering the effect of individual source. The other ideal voltage sources are replaced by its internal resistance (or by a short circuit) and ideal current sources in the network are replaced open circuit across the terminals. This theorem is valid only for linear systems. PROOF OF SUPERPOSITION THEOREM: - Find the current through Z 3 by using Superposition Theorem Z Z V Z3 I3 V ' ' Figure No.. Solution : Step : Considering source V acting independently and short-circuiting the other sources (V) or replace by internal impedances to measure current through I
Z Z V Z3 I' ' ' Figure No.. I is current supplied by V I is current through Z 3 Step : Considering source V and short-circuiting the source V to measure current through I Z Z Z3 I' V ' ' Figure No..3 I is current supplied by V I is current through Z3 Step 3: By using superposition theorem current through I3 is current flowing through load impedance
PROCEDURE: Superposition Theorem:. Connect the circuit as shown in fig (.). Set the Variac for rated voltage. 3. Make the supply voltage V short-circuited and apply V as shown in fig (.) and note down the current through load impedance as. 4. Make the supply voltagev short-circuited and apply V as shown in fig (.3) and note down the current through load impedance as. 5. Now connect the V and V source to note down current through load impedance Z3 and verify that theoretically and practically which proves Superposition theorem. OBSERVATION TABLE: Z = ; Z = ; Z 3 = Sr. V = V; V = 0V V = V; V = 0V V = V; V = No. I (ma) I (ma) I3 = I + I (ma) Practical Theoretical Practical Theoretical Practical Theoretical THEORETICAL CALCULATION: CONCLUSION: EXERCISE:. Prove Superposition theorem to find current through Z 3 for the given circuit in figure no..4 and.5 practically and theoretically. Z KΩ Z.KΩ Z 5 Z 5 V 8.48V Z3 0KΩ V 8V V 90 V Z3 300 V 0 V I3 I3 ' ' ' ' Figure No..4 Figure No..5
SHREE RAMCHANDRA COLLEGE OF ENGG. LONIKAND (096) DEPT. : ELECTRICAL ENGG. NETWORK ANALYSIS ( 0347 ) SEM. : II (SE) EXPERIMENT NO. : SRCOE/ELECT/NA/0 PAGE: - DATE: : : EXPERIMENT TITLE: RECIPROCITY THEOREM. AIM: To study Verification of Reciprocity Theorem in A.C. circuits. APPRATUS: Sr. No Name of the Equipment Specification Quantity Experimental kit Variac 3 Connecting wires 4 Ammeter 5 Voltmeter RECIPROCITY THEOREM STATEMENT The reciprocity theorem states that in any linear, bilateral network consisting of single source V, gives the ratio of voltage V introduce in one loop to the current I in other loop is same as the ratio obtain if the positive of V and I are interchanged in the network. The response at any branch (or) transformation ratio is same even after interchanging the sources is V / I = V / I. A network that obeys reciprocity theorem is known as reciprocal network. Before interchanging the source Z Z V Z3 I ' ' Figure No.. Apply KVL to loop Apply KVL to loop
I and I will get Obtain ratio of voltage source V in loop and current in loop When is adding in loop and current in loop Step : When is adding in loop and find current in loop After interchanging the source Z Z I A Z3 Vs ' ' Figure No..
Loop abca Loop bcb Hence, we observe from equation and and current in loop. The ratio of and is same. This proves the reciprocity theorem. PROCEDURE: Reciprocity Theorem:. Connect the circuit as shown in fig (.).. Note down the ammeter reading as 3. Now interchange the source and ammeter as in fig (.). 4. Note down the ammeter reading as 5. Now verify that = theoretically and practically which proves reciprocity theorem.
OBSERVATION TABLE: Z= ; Z= ; Z3= Sr. No. When V is acting in loop and current in loop (V= Volts) When V is acting in loop and current in loop (V= Volts) Practical values Theoretical values Practical values Theoretical values (ma) (Ω) (ma) (Ω) (ma) (Ω) (ma) (Ω) THEORETICAL CALCULATION: CONCLUSION: EXERCISE: Prove Reciprocity theorem for the given circuit in figure no..3 Z 5 Z 600 Vs Z3 300 A I ' ' Figure No..3 Z 7 Ω Z 7 Ω Vs Z3 56 Ω A I ' ' Figure No..4
SHREE RAMCHANDRA COLLEGE OF ENGG. LONIKAND (096) DEPT. : ELECTRICAL ENGG. NETWORK ANALYSIS ( 0347 ) SEM. : II (SE) EXPERIMENT NO. : SRCOE/ELECT/NA/03 PAGE: - Date : EXPERIMENT TITLE: THEVENIN S THEOREM AIM: To Study Verification of Thevenin s Theorem in A.C. Circuits. APPRATUS: Sr. No Name of the Equipment Specification Quantity Experimental kit Digital Multimeter 3 Variac/ regulated power supply 4 Connecting wires 5 Ammeter 6 Voltmeter THEVENIN S THEOREM OVERVIEW Thevenin s Theorem will be examined for the AC case. While the theorem is applicable to any number of voltage and current sources, this exercise will only examine single source circuits for the sake of simplicity. The Thevenin s source voltage and Thevenin s impedance will be determined experimentally and compared to theoretically. The Thevenin s impedance is found by replacing all sources with their internal impedance and then applying appropriate series-parallel impedance simplification rules. THEVENIN S THEOREM STATEMENT Thevenin s Theorem states that any two terminal linear bilateral networks composed of energy sources, and impedances can be replaced by an equivalent two terminal network consisting of an independent voltage source V th in series with an impedance Z th. Where, thevenin s voltage V th is the open circuit voltage between the load terminals and Z th is the impedance measured between the terminals with all the energy sources replaced by their internal impedances. It is a method for reduction of complex circuit into a simple one. It reduces the need for repeated solution of the same sets of equations. PROOF OF THEVENIN S THEOREM:
Z= R+jxL V Z = R+j(xL-xC) ZL = R- jxc ' ' Figure No. 3. Z A IL V Z ZL ' ' Figure No. 3. Z Z3 V I Z I Z4 ZL ' ' Step : Remove Z L Z V I Z I ' ' Figure No. 3.3
Z Z3 V I Z I Z4 ZL ' ' Step : Find voltage between terminal - i.e Z V Z Vth ' ' Figure No. 3.4 Z Z3 V I Z I Z4 Vth ' ' Apply KCL for closed loop cabc Step 3: Find the impedance between terminal -, Zth
Z V= 0 Z Zth ' ' Figure No. 3.5 Z Z3 V=0V I Z I Z4 Zth ' ' Step 4: Figure No. 3. is replaced and connect ZL Zth A IL Vth ZL ' ' Figure No. 3.6 By using Thevenin s theorem current through ZL PROCEDURE: THEVENIN S THEOREM:. Connections are made as per the circuit shown in fig (3.).. Set the Variac and apply the voltage to V and note down the current I L flowing through the load. 3. Connect the circuit as shown in fig (3.3 & 3.4) by open circuiting the load resistance. Apply the voltage and note down the reading of voltmeter as V th.
4. Connect the circuit as shown in fig (3.5), measure the effective resistance Z th with the help of a multimeter, by short-circuiting the voltage source. 5. Connect the Thevenin s equivalent circuit as shown fig (3.6) note down the load current I L. 6. Thevenin s theorem can be verified by checking that the currents I L and I L are equal. OBSERVATION TABLE: Z = ; Z = ; Z 3 = ; Z 4 = ; Z L = Vs Theoretical values Practical values Volts I L (ma) V th (Volts) Z th (Ω) I L (ma) I L (ma) V th (Volts) Z th (Ω) I L (ma) THEORETICAL CALCULATIONS: CONCLUSION: EXERCISE :. Find current through 600 ohm by using Thevenin s theorem shown in fig. Z 5 V 0 Z 300 ZL 600 ' '. Find the current through the 5kΩ resistor (Z L ) in the circuit using Thevenin s th'm. Z. kω Z3 5.kΩ V 0 Z kω Z 4 0kΩ ZL 5kΩ ' '
SHREE RAMCHANDRA COLLEGE OF ENGG. LONIKAND (096) DEPT. : ELECTRICAL ENGG. NETWORK ANALYSIS ( 0347 ) SEM. : II (SE) EXPERIMENT NO. : SRCOE/ELECT/NA/04 PAGE: - Date : EXPERIMENT TITLE: MILLMAN S THEOREM AIM: To study Verification of Millman s Theorem in A.C. circuits. APPRATUS: Sr. No Name of the Equipment Specification Quantity Circuit Board Digital Multimeter 3 Variac/ regulated power supply 4 Connecting wires 5 Ammeter 6 Voltmeter MILLMAN S THEOREM STATEMENT: If n voltage sources V, V,...,Vn having internal impedances ( or series impedances) Z, Z,... Zn respectively are connected in parallel then these sources may be replaced by a single voltage source Vm having internal series impedance Zm, where, Vm and Zm are given by Z Z Z3 Zn V V V3 Vn ' ' Figure No. 4. Zm Vm ' Figure No. 4.
And Where, are the admittances Zm ' Figure No. 4.3 Corresponding to the impedances
Z I Z V Figure No. 4.4 Z I Z V Figure No. 4.5 Zn In Zn Vn Figure No. 4.6 I I I3 In Z Z Z3 Zn Figure No. 4.7
PROCEDURE:. Do the connection as per circuit diagram... 3.. 4.. 5.. OBSERVATION TABLE: Sr. No. Practical values (ma) Theoretical values (ma) THEORETICAL CALCULATION: CONCLUSION: EXERCISE. Using Millman s theorem find the current and voltage in resistor Z4 in the given network Z 5 Z I3 Z3 A 0 Z4 5 V 5 V 4V Vn ' ' Figure No.4.8. Using Millman s Theorem find the current through 56 Ω in the given circuit. Vn 4.4V V 8.84 V V 0 V Z 7Ω Z 0 Ω Z 5 3 Z 56Ω Ω ' ' Figure No.4.9
SHREE RAMCHANDRA COLLEGE OF ENGG. LONIKAND (096) DEPT. : ELECTRICAL ENGG. NETWORK ANALYSIS ( 0347 ) SEM. : II (SE) EXPERIMENT NO. : SRCOE/ELECT/NA/05 PAGE: - Date : EXPERIMENT TITLE: TWO PORT NETWORK PARAMETERS AIM: To Determine the Parameters of Two Port Network s. APPRATUS: Sr. No Name of the Equipment Specification Quantity Two port network kit Digital Multimeter 3 Variac/ regulated power supply 4 Connecting wires 5 Ammeter 6 Voltmeter THEORY: A two-port network has two terminals name as - to which source is connected (driving energy/input port) and - is connected to load (output port), four variables as shown in figure. These are the voltages and currents at the input and output ports, namely V, I and V, I. To describe relationship between ports voltages and currents, two linear equations are required. From this, two are independent and two are dependent variables. I I V - port network V Port Port ' I I ' Figure No.5. We will further see Z-parameter, Y-parameter and ABCD parameter Z-Parameter: Z parameters are called impedance parameters. The parameters Z are defined only when the current in one of the ports is zero i.e. one of the port is open circuited. Hence, Z-parameters are open circuited parameters. By expressing V and V (dependent variables) in terms of I and I (independent variables) In matrix form
From the above equations, either we can find out Z-parameters by input terminals or output terminals are open circuited (assigning values of the independent variables as zero) called open circuited impedance (ohms). I I Z Z V V Z I Z I Figure No. 5. 0... input impedance 0... forward transfer impedance 0... reverse transfer impedance 0... output impedance Y-Parameter: These parameters are called admittance parameters. By expressing V and V (independent variables) in terms of I and I (dependent variables) given as
From the above equations, we can find out Y-parameters either input or output port are short circuiting by assigning values of the independent variables as zero. These are called short circuit admittance parameters (Siemens). I I y V V y Y V y V Figure No. 5.3 0... input admittance ABCD Parameter: These are transmission parameters and are used for analysis of transmission system where input port is referred as sending end and output port is referred as receiving end. By expressing V and I (input port/ dependent variables) in terms of V and I output port (independent variables). I I - port V network V Port Port ' I Figure No. 5.3 I ' Considering, the current entering in both the ports and is positive. The indicates that is leaving the port.
ABCD matrix is a transfer matrix of the network. These parameters are measured by open circuit and short circuit test on the output port (By assigning values of the independent variables as zero). A = open circuit voltage gain B = short circuit transfer parameter C = open circuit reverse transfer parameter D = short circuit reverse current gain PROCEDURE :-. Connect dc power supply V a = 5V at port - and keep output port open circuited i.e... Measure the current I by connecting mill ammeter in series with R and voltage V across R 4 by Multimeter. 3. From these values of V, V, I and I (I = 0) find input driving point impedance where V = V a. i.e. Z = V / I at I = 0 & Find forward transfer impedance i.e. Z = V / I at I = 0. 4. Connect dc power supply V b = 5V at port - and keep input port open circuited i.e. I = 0. 5. Measure the current I by connecting milliammeter in series with supply and voltage V across R 3 by multimeter. 6. From this value of V, V, I and I (I =0) find output driving point impedance that is Z = V / I at I = 0 & Z = V / I at I = 0. 7. Calculate Z-parameters theoretically. These values should be approximately equal to the practical values of Z-parameters.
OBSERVATION TABLE: I = 0 I = 0 Practical values Theoretical values Practical values Theoretical values V V V V I I Z Z Z Z V = 0 V = 0 I I I I V V Y Y Y Y THEORETICAL CALCULATION: CONCLUSION: EXERCISE :. Find the Z. Y, and ABCD parameter for the given circuit. Za 00 Zc 00 I I V Z b 50 V ' ' ' Figure No. 5.4 Z.kΩ Z kω Z.kΩ I I A Z 560Ω Z 560Ω A V 0 V ' V 8 V ' ' Figure No. 5.5
SHREE RAMCHANDRA COLLEGE OF ENGG. LONIKAND (096) DEPT. : ELECTRICAL ENGG. NETWORK ANALYSIS ( 0347 ) SEM : II (SE) EXPERIMENT NO. : SRCOE/ELECT/NA/ PAGE: - Date : EXPERIMENT TITLE: RESONANCE OF RLC CIRCUIT AIM: To Determine Resonance, Resonant frequency, Quality factor and Bandwidth of the RLC circuit. APPARATUS: Sr. No Name of the Equipment Specification Quantity Two port network kit Digital Multimeter 3 Variac/ regulated power supply 4 Connecting wires 5 Ammeter 6 Voltmeter CIRCUIT DIAGRAM : R L i Vin C Vo Figure No. 6. THEORY: In series RLC circuit Impedance, Current And, Phase angle Ф=. We know that both and are the function of frequency f. When f is varied both and get varied. If the frequency of the signal fed to such a series circuit is increased from minimum, the inductive reactance (X L = πfl) increases linearly and the capacitive reactance ( = /πfc) decreases exponentially. At resonant frequency fr, - Net reactance, X = 0 (i.e., X L =X c ) - Impedance of the circuit is minimum, purely resistive and is equal to R - Current I through the circuit is maximum and equal to V/R - Circuit current, I is in phase with the applied voltage V (i.e. phase angle Ф = 0). At this particular resonant frequency, a circuit is in series resonance. Resonance occurs at that frequency when, Therefore
BW of series RLC circuit: At series resonance frequency, current is maximum and impedance is minimum. The power consumption in a circuit is proportional to square of the current as. Therefore, at series resonance current is maximum and power is also maximum Pm. The half power occurs at the frequencies for which amplitude of the voltage across the resistor becomes equal to of the maximum. For frequency above and below resonant frequency fr, f and f are frequencies at which the circuit current is 0.707 times the maximum current, Imax or the 3dB points. Bandwidth: The difference between the half power frequency f and f at which power is half of its maximum is called bandwidth of the series RLC circuit. Therefore from above figs Out of two half-power frequencies, the f is upper cut off frequency and f is lower cut off frequency. The current in series RLC circuit as At resonance, At half power, Equating eq and
From the equation 3 we can find two values of half power frequency which are corresponding to f and f and Equation 7 shows that resonant frequency is geometric mean of the two half power frequency is Subtracting equation 5 from equation 4 we get, Quality Factor: It is the ratio of energy stored in the oscillating resonator to the energy dissipated per cycle by damping processes. It is dimensionless parameter. It determines the
qualitative behaviour of simple damped circuit. The quality factor of RLC series circuit is the voltage magnification in the circuit at resonance is Therefore, the quality factor is It indicates the selectivity or sharpness of the tuning of a series circuit. It gives correct indication of the selectivity of such series RLC circuit, which are used in many circuits. A system with low Q < ½, is said to be overdamped A system with high Q > ½, is said to be underdamped A system with intermediate Q = ½ is said to be critically damped The quality factor increases with decreasing R The bandwidth decreases with decreasing R PROCEDURE:. Connect function generator to the CRO and set the output voltage 0Vpp at khz. as shown in circuit diagram.. Apply the input voltage to series resonance circuit as shown in fig. and observe output voltage on CRO.
3. Increase the function generator output signal frequency from minimum say 0 Hz to a maximum signal frequency of 00KHz in decade steps (0, 0, 30..00, 00,..000, 000..0k, 0k., 00kHz). Note the corresponding output voltage. 4. For applied signal frequency measure current with the help of milliammeter. 5. Calculate the gain in db and theoretical frequency using 6. Plot the graph of frequency v/s Gain, find the frequency on the graph at which gain is maximum, this frequency is known as resonant frequency and this should be approximately to the theoretical frequency calculated in step 5. OBSERVATION TABLE: Sr. No. Frequency (Hz) Output Voltage (Vo) 0Hz 0 khz 00kHz Current (ma) Gain(dB) = 0log(Vo/Vin) Nature of Graph Gain lo 0/.707 BW= f-f f f0 f frequency THEORETICAL CALCULATION: Figure No. CONCLUSION: Exercise : L=0mH C=0.047microfarad R= 4.7kohm L= 47mH C=0.microfarad R=.ohm
SHREE RAMCHANDRA COLLEGE OF ENGG. LONIKAND (096) DEPT. : ELECTRICAL ENGG. NETWORK ANALYSIS ( 0347 ) SEM. : II (SE) EXPERIMENT NO. : SRCOE/ELECT/NA/ PAGE: - Date : EXPERIMENT TITLE: RESONANCE OF RLC PARALLEL CIRCUIT AIM: To Determine Resonance of RLC Parallel Circuit. APPARATUS: Sr. No Name of the Equipment Specification Quantity Two port network kit Digital Multimeter 3 Variac/ regulated power supply 4 Connecting wires 5 Ammeter 6 Voltmeter CIRCUIT DIAGRAM: S R L i ic C V Figure No. 7. THEORY: A parallel circuit like the one that is illustrated in Fig. No. is said to be under resonance when the resultant current drawn by it and the line voltage across it s terminal are in phase. The frequency at which this happens is known as resonant frequency. Consider a commonly used tank circuit for easy simplification. Inductive reactance of the coil Capacitive reactance of the coil Impedance of the coil
Ω Current in an inductive branch Phase angle between & Current in the capacitive branch The resultant is obtained from the phasor addition of and. If F of such a value that = then, the resultant current I is minimum L= and in phase with the supply voltage as shown in figure is said to be in response and the frequency at which this happens is known as resonance frequency. The expression for the resonant frequency for the circuit under consider If fr is the resonant frequency then If R is small then,
Hence, it should be noted that at resonance, the susceptances of both the parallel branches are equal and net susceptances of the whole circuit is always zero. Dynamic Impedances : At resonance, the resultant current is given by From equation Putting this value in above equation, we get The term at the denominator in the above equation is known as the equivalent dynamic impedance of parallel circuit under resonance of obvious corresponding result is minimum. Purely resistive as the parallel circuit under resonance offer s maximum impedance to current of one particular circuit may be used in ratio or electric circuits to filter out or rejected the circuit of the desired frequency. Q-factor of parallel circuit: Parallel resonance is often refers to as current resonance because even through very little current is known from supply by the parallel circuit under resonance. Now from equation 5 the line current drawn from the supply at resonance it given by The current in the inductive branch is given by The ratio of current circulating between the two parallel branches to the line current drawn from the supply is called current magnification. Therefore, from the above equation we have,
Alternatively, It is the same as that for series resonance circuit OBSERVATION TABLE: Sr. No. Parameter Value. Resonant frequency (fr). Quality factor Nature of graph: ФL Ic sinфl CONCLUSION: EXERCISE:
SHREE RAMCHANDRA COLLEGE OF ENGG. LONIKAND (096) DEPT. : ELECTRICAL ENGG. NETWORK ANALYSIS ( 0347 ) SEM. : II (SE) EXPERIMENT NO. : SRCOE/ELECT/NA/ PAGE: - Date : EXPERIMENT TITLE: TIME RESPONSE OF RL SERIES CIRCUIT AIM: Determination of Time Response of series RL circuit to step DC input voltage (rise and decay of current in an inductive circuit) EQUIPMENTS REQUIRED:. MATLAB SOFTWARE CIRCUIT DIAGRAM: S R i L V Figure No.. THEORY Consider a RL series circuit shown in figure. with S is closed at t=0. Kirchoff s law gives the differential equation for the circuit Taking Laplace transform The initial condition specified by the last equation is =0 thus above equation is as as the inductance is unfluxed, Where and are unknown coefficients. As the first step, simplify the equation by putting all terms over a common denominator. Equating coefficients to obtain set of linear algebraic equations
From the above equations we get the, The final solution gives a transform into the sum of reversed separate parts is known as loading of partial fraction expansion. ], t PROGRAM : V = 00; R =.000; L=0.0 Lamda =L/R; Im = V/R; t=0:0:00 i=im*(-exp(-t / lamda)); % rise in current il = Im*exp(-t / lamda ); % decay in current plot (t,i,t,il); xlabel( time(t) in sec ); ylabel( current in ampere ); title(determination of time response of RL circuit for step D.C. voltage ( rise and decay of current in an inductive circuit ). Nature of graph:
PROCEDURE :. Connect the circuit as shown in figure no. CONCLUSION :
SHREE RAMCHANDRA COLLEGE OF ENGG. LONIKAND (096) DEPT. : ELECTRICAL ENGG. NETWORK ANALYSIS ( 0347 ) SEM : II (SE) EXPERIMENT NO. : SRCOE/ELECT/NA/0 PAGE: - Date : EXPERIMENT TITLE: TIME RESPONSE OF RC SERIES CIRCUIT AIM: Determination of Time Response of RC circuit to step DC input voltage (charging and discharging of Capacitor). EQUIPMENTS REQUIRED:. MATLAB SOFTWARE CIRCUIT DAIGRAM: S R i V C Figure No.. THEORY:
PROGRAM: V = 00; R = 00000; C = 00E-6; Lamda =R*C; t=0:.:00 Vc = V*(-exp(-t / lamda)); Vr = V*exp(-t / lamda ); plot (t, Vc, t, Vr); xlabel( time(t) in sec ); ylabel( voltage in Volts ); title( determination of time response of RC circuit for step D.C. voltage )
SHREE RAMCHANDRA COLLEGE OF ENGG. LONIKAND (096) DEPT. : ELECTRICAL ENGG. NETWORK ANALYSIS ( 0347 ) SEM. : II (SE) EXPERIMENT NO. : SRCOE/ELECT/NA/ PAGE: - Date : EXPERIMENT TITLE: TIME RESPONSE OF RLC SERIES CIRCUIT. AIM: Determination of Time Response of series RLC circuit to step DC voltage. EQUIPMENTS REQUIRED:. MATLAB SOFTWARE CIRCUIT DIAGRAM: R L V C THEORY: Figure No. Taking Laplace transform Multiply by s/l to num and den, Nature of graph CONCLUSION :