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. …

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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 …

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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 …

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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, …

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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 …

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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 …

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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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Average Power Formula | Instantaneous Power Formula

In linear networks which have inputs that are periodic functions of time, the steady-state currents and voltages produced are periodic, each having identical periods. Consider an instantaneous power $\begin{matrix}   p=vi & \cdots  & (1)  \\\end{matrix}$ Where v and i are periodic of period T. that is, $\begin{align}  & v(t+T)=v(t) \\ & …

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Parallel RLC Circuit Analysis

When resistance, inductance, and capacitance are connected in parallel, the circuit is said to be RLC Parallel circuit. In the parallel RLC circuit shown in the figure below, the supply voltage is common to all components. One of the most important second-order circuits is the parallel RLC circuit of figure …

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Inductor Types and Symbols

Typical power supply inductor

In spite of the great number of different kinds of inductors, only a few schematic symbols are needed to represent them. Filter Choke A filter choke for a power supply is shown in figure 1 (a), and its symbol is shown in figure 1(b). Fig.1: Iron Core Choke Coil: (a) …

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