Replacing the sinusoidal terms in the trigonometric Fourier series by the exponential equivalents, $\cos (n{{\omega }_{o}}t)=\frac{1}{2}({{e}^{jn{{\omega }_{o}}t}}+{{e}^{-jn{{\omega }_{o}}t}})$ And $\sin (n{{\omega }_{o}}t)=\frac{1}{j2}({{e}^{jn{{\omega }_{o}}t}}-{{e}^{-jn{{\omega }_{o}}t}})$ Now, let us put the above exponential equivalents in the trigonometric Fourier series and get the Exponential Fourier Series expression: You May Also Read: Fourier Transform and …

Read More »## Equivalent Resistance Calculation in a Complex Circuit Using Matlab

Determine the equivalent resistance of the circuit between points A and B. As we can see from above circuit that R1+R2 is connected in parallel fashion with R5 as well as with R3+R4. So, let’s write a code in Matlab in order to calculate an equivalent resistance across terminals A …

Read More »## Current Through a Capacitor | Matlab

We can define the relationship between capacitor’s voltage and current as the amount of current flows through a capacitor depends on two factors: the capacitance and how rapidly the voltage is either ascending or descending. If the voltage goes up quickly, a large amount of current rushes through the capacitor. …

Read More »## How to Find Node Voltage in a Bridge Circuit | Matlab

A voltage node is typically a conjunction in an electric circuit at which an electric potential can be calculated with respect to some other (reference) node. if one point in the circuit is grounded, that point is generally selected as the reference node. Otherwise, any convenient junction can be treated …

Read More »## How to Find Node Voltage in an AC Circuit | Matlab

For Nodal Analysis, the voltage at each node (or junction in the circuit) is identified with respect to ground (node zero). then, circuit equations are written to determine the node voltage. In this tutorial, we will calculate node voltages for the following circuit using Matlab. Determine the voltage at each …

Read More »## Calculating Voltage in an AC Circuit | Matlab

In this tutorial, we will determine the voltages at each node of the following circuit using Matlab. Determine the voltage at each node of the circuit of figure: The impedances correspond to an inductor and capacitor in the above circuit can be obtained using the following expressions: $\begin{align} & {{Z}_{C}}={{\left. …

Read More »## Dynamometer Type Wattmeter Working Principle | Electrodynamometer

In a dc circuit, the power supplied to a load can be determined by measuring the load voltage and current and multiplying them together: P=EI However, it is much more convenient to have an instrument that indicates power directly. The meter used for this purpose is called a wattmeter, and …

Read More »## Megohmmeter Working Principle | Megger Working Principle

A high voltage source is required to pass a measurable current through such resistances. Thus, the megger is essentially an ohmmeter with a sensitive deflection instrument and a high voltage source. As illustrated in figure (1), the voltage is usually produced by a hand-cranked generator. The generated voltage may …

Read More »## PMMC Instrument Working Principle | Permanent Magnet Moving Coil Instrument

Figure 1 shows the basic construction of a PMMC instrument. A moving-coil instrument contains principally of a permanent magnet to offer a magnetic field and a small lightweight coil pivoted within the field. A soft iron core is included between the poles of the magnet so that the coil …

Read More »## Sinusoidal Waveform or Sine Wave in Electricity

Because of the importance of sinusoidal functions, I will devote this section to a review of some of their properties. Let us being with the sine wave, $\begin{matrix} v(t)={{V}_{m}}\sin (\omega t) & \cdots & (1) \\\end{matrix}$ Which is sketched in figure (1). The amplitude of the sinusoid is Vm, which …

Read More »## Electric Current | Unit of Electric Current

The primary purpose of an electric current is to move or transfer charges along specified paths. This motion of charges constitutes an electric current, denoted by the letters i or I, taken from the French word “intensite”. Formally, The basic unit of current is the ampere (A), named after …

Read More »## Symmetry Properties of the Fourier series

If a function has symmetry about the vertical axis or the origin, then the computation of the Fourier coefficients may be greatly facilitated. A function f (t) which is symmetrical about the vertical axis is to be an even function and has the property \[f(t)=f(-t)\] For all t. that is, …

Read More »## Phasors in Electric Circuits

The phasor method of analyzing circuits is credited generally to Charles Steinmetz, a famous electrical engineer with the General Electric Company in the early part of this century. To begin, let us recall the general sinusoidal voltage, $\begin{matrix} v={{V}_{m}}\cos (\omega t+\theta ) & \cdots & (1) \\\end{matrix}$ If the frequency …

Read More »## RMS Value| RMS Voltage | RMS Current

Periodic currents and voltages deliver an average power to resistive loads. The amount of power that is delivered depends on the characteristics of the particular waveform. A method of comparing the power delivered by different waveforms is therefore very useful. One such method is the use of RMS or effective …

Read More »## RLC Series Circuit Analysis

When resistance, inductance, and capacitance are connected in series, the circuit is said to be RLC Series circuit. In the RLC Series circuit shown in the figure below, the current is common to all components. The series RLC circuit, shown in figure 1, is the dual of the parallel circuit. …

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