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Kirchhoff’sVoltage&and&Current&Laws&for&Circuits&with
andReactive&Components
Laboratory - #2
Kehali B. Haileselassie& Fais...
Introduction
The purpose of this report is to verify Kirchhoff’s Voltage Law (KVL) and Kirchhoff’s Current
Law (KCL) using...
Procedure
We designed a simple circuit with resistive and reactive element that was available in our kit in
order to verif...
The simple resistive circuit that we designed to verify KVL and KCL with three loops; one
resistor and one reactive elemen...
KVL was applied to the three closed loops of the circuit using the symbolic label stated in
figure_1. The equation is show...
Conclussion
Ohm’s law and Kirchhoff’s law are the most basic techniques to analysis linear circuits. The
main purpose of t...
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Lab 2 Kirchhoff’s Voltage and Current Laws for Circuits with Reactive Components by kehali bekele haileselassie

Lab 2 Kirchhoff’s Voltage & Current Laws for Circuits with and Reactive Components
EE 305
By Kehali Bekele Haileselassie

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Lab 2 Kirchhoff’s Voltage and Current Laws for Circuits with Reactive Components by kehali bekele haileselassie

  1. 1. Kirchhoff’sVoltage&and&Current&Laws&for&Circuits&with andReactive&Components Laboratory - #2 Kehali B. Haileselassie& Faisal Abdulrazaqalsaa 07/21/2013 ELC ENG 305 – Circuit Analysis II Instructor - EbrahimForati
  2. 2. Introduction The purpose of this report is to verify Kirchhoff’s Voltage Law (KVL) and Kirchhoff’s Current Law (KCL) using a circuit containing both resistive and reactive components in it. The purpose of the report also includesinvestigating the amplitude and phasing angle in RLC circuits using the properties of capacitors and inductors. The circuit was built using the given Elenco DC power supply (Model XP-770), Agilent Signal Generator (Agilent 33220A) digital multi-meter, breadboard, electrical wires and three random resistors. Kirchhoff’s Current Law (KCL) and Kirchhoff’s Voltage Law (KVL) is very important to analysis a linear circuit. It is mainly deals to relate voltage to current and resistance. Kirchhoff’s Voltage Law (KVL) states that the algebraic sum of all voltages in a closed loop must be equal to zero. A closed loop is a path in a circuit that does give a return path for a current. Kirchhoff’s Current Law (KCL) deals with the current flowing into and out of a single node. It states that the sum of the current flowing into the node and the current flowing out from the node must equal to zero.
  3. 3. Procedure We designed a simple circuit with resistive and reactive element that was available in our kit in order to verify the KVL and KCL. The three resistors, the resistive and reactive component were chosen randomly from the kit. Theirnominal and measured values of each components and resistors are shown in the table below for further elastration. Item Reference Nominal Value (kῼ) Measured Value(kῼ) 1 R1 1kῼ 1kῼ 2 R2 2kῼ 2kῼ 3 R3 1kῼ 1kῼ 4 C1 0.01 0.01 5 C2 0.01 0.01 6 L1 200mH 200mH Table_1 The measured values of the amplitude and the phase angle of each element is shown in table 2 bellow for further elastration. Item Reference Amplitude Angle Phi 1 R1 5.375 2 R2 4.00 3 R3 2.12 4 C1 3.175 5 C2 1.40 6 L1 2.25 Table_2
  4. 4. The simple resistive circuit that we designed to verify KVL and KCL with three loops; one resistor and one reactive element per loop in this laboratory is shown below in figure_1. Figure_1 Data and Analysis and Culculation We used mesh analysis to figure out the voltage and the current of each elemens. In addition to Kirchhoff’s law, We applied the ohm’s law ( V = IR ). We measured the voltage across each resistor and the power supply by connecting a voltmeter in parallel with the resistors and the power supply. The impedance Z across the capacitors and inductor are specified as bellow. Zc_1 = 1/ (jwc-1) = 1/( j*1000*0.01*0.000001) = -100000j Zc_2 = 1/(jwc-2) = 1/(j*1000*0.01*0.000001) = -100000j ZL_1 = jwL = J*1000*200*0.001 = 200j
  5. 5. KVL was applied to the three closed loops of the circuit using the symbolic label stated in figure_1. The equation is shown below. Vc_1 + V1 - Vs = 0→ R_1I1 + Zc_1(I1_I2) – VS = 1000*I1 -100000j(I1 _I2) – 10 = 0 Vc_1 + V2 + VL_1 = 0→R_2I2 + Zc_1(I2 – I1) – VSL = 2000*I2-100000j(I2 – I1) +200j(I2 – I3) = 0 V3 + Vc_2– VL_1 = 0→ R_3I3 + Zc_2I1 – VL = 1000I3-100000Ji3 +200j(I3 – I2) = 0 Solutions I1 =
  6. 6. Conclussion Ohm’s law and Kirchhoff’s law are the most basic techniques to analysis linear circuits. The main purpose of this lab was to verify and investigating the amplitude and phasing angle in RLC circuits using the properties of capacitors and inductors. There were five unknown current and voltage in the circuit. We did build the circuit in breadboard. In order to verify the accuracy of the values we measured experimentally, we simulated the circuit through using LTspice. We did also calculated analytically by using Kirchhoff’s law and Ohm’s law to predict our calculated value and the experimental values are the same. The calculated values, the experimental values and the simulated values from the LTspice are almost the same. In addition, we did figure out that the voltage across the inductor lead the current through the resistors and capacitors. At a high frequencies, the impedance of the inductor will be much larger than the capacitors and the impedance of the resistors. The current will be small. In contradict, at low frequencies, The impedance of the capacitors will be much larger than the impedance of inductor and the impedance of the resistors. The current still remain small.The As a result, we concluded that the Kirchhoff’s Law (KVL & KCL) and the Ohm’s Law are valid.

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