Essays on Time Constant

Introduction:

This is the ninth experiment in which we will be doing a few experiments that involve inductors and capacitors in order to gain a deeper insight into these elements. We will carry out a few experiments that concern open-close switch circuits and the first order circuit. We shall determine the R(internal) value for the inductors as well as the capacitors in the first order circuit.

Theory:

A capacitor is an element with two terminals that models a device that contains two plates capable of conduction, with the plates being separated by a material that is a non-conductor.

The relationship between voltage and current for a capacitor is-

Vc(t) ...

- Linear and Non-linear devices A linear electrical component is an electrical element that has a linear relationship between current and voltage in a circuit. Examples include resistors, capacitors and inductors. Non-linear electrical elements do not have a linear relationship between the current and voltage. An example is a diode where the current is a non-linear function of the voltage. The load line analysis is a graphical analysis of the characteristics of non-linear electronic circuits to show the constraints that is placed on the non-linear devices by the rest of the circuit. Using a simple diode (a non-linear electronic device) to explain the ...

The main objective of this experiment is to observe “slow” transient voltages in a long time constant RC circuit using a multimeter and to observe “fast” transient voltages in a short time constant RC circuit using an oscilloscope.

Materials and Equipment:

- Variable voltage DC power supply (0-20 volts, 0-1.5 amps) - Digital multimeter (DMM) - Decade resistance and capacitance box - 50 µf, 100 µf capacitors (rated 20v or higher) - Carbon film resistors: 1MΩ - Single throw, double pole switch - Oscilloscope & AC function generator or myDAQ Module, PC with Multisim

THEORY

A capacitor is made up of ...

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ABSTRACT The RLC resonance in a circuit is a circuit in which the arrangements follow or consist of a resistor, inductor and capacitor. This lap report is not a confined order. It can take a different order, i.e. an inductor, a resistor and a capacitor thus LRC. This arrangement can be connected in series or parallel depending on the topic in question. In this circuit, RLC circuit resonance, form a harmonic oscillation for current in seen in the cathode ray tube, oscilloscope. This laboratory work or experiment tries to determine the behavior of an RLC resonance circuit in terms of the resonance frequency as displayed in ...

Part 1 Solutions Using Symbolic Math

Creating Symbolic Variables in MATLAB 1-2. The following codes create a symbolic variable ‘x’ and find the roots of the equation x2-4x+7=0: The roots are: x=2±3 j

Using MATLAB to Solve a Simple Problem

1-2. Using symbolic variable in MATLAB, a KVL equation is solved using the following code: The current is equivalent to the symbolic variable II. The current computed is: II=0.4068 A

Part 2 Using MATLAB to Solve Node Voltage Equations

1-2. Node voltage solution using the following equation: 1.5- VA1000-VA-3.01500=0

This equation is modelled in MATLAB using symbolic variable:

The node voltage computed is: VA=2.1 V

3-4. The node voltage equations are:

The following codes are inputted in MATLAB to solve these node voltage equations: The computed node voltages are: VB=23.2 V, ...

This experiment explores the functionalities of the oscilloscope. In part 1, the oscilloscope is used to display a DC signal and an AC signal, and to measure the frequency of an AC signal. In part 2, the oscilloscope is used to display the exponential response of an RC circuit, and to estimate the time constant τ using the displayed signal. The results of the experiment are presented in this laboratory report. 1. Oscilloscope The oscilloscope is a device that measures electrical waveforms at any point in an electrical circuit. The waveforms are normally displayed graphically in a voltage versus time format, ...

ABSTRACT

Every circuit suffers from at least one form of time delay which usually occurs between its input and output whenever signals are applied to it. This delay is known as Time Constant of the circuit which is usually define to be the response time of the circuit whenever a step voltage is applied initially to it. The unit of this response time is Tau, usually abbreviated asT. It is worthy to note that that in any circuit or system the resultant time constant is mainly dependent on the reactive component. Also, time constant, T, is the time taken for ...

EE 2010L Circuit Analysis Lab Name : TA : Partner: Introduction: In this lab we studied about RC circuits, RL circuits and time constants. We constructed two RC circuits with the given resistors and capacitors connected to the frequency source. And we measured voltage across the resistors and capacitors, using the oscilloscope the time constants of the capacitors are also measured. The time constant of the capacitor is defined as the time taken by the capacitor to get charged through the resistor. Time constant of a capacitor can be calculated using the equation T=RC . In this equation T is the ...