LC Circuit Analysis using Matlab

Determine the voltage across the capacitor and the current through the inductor: Using the following formulae, we can easily obtain the voltage across the capacitor and current through an inductor for time t≥0, ${{i}_{L}}(t)=-\sqrt{\frac{C}{L}}{{V}_{c0}}\sin (\frac{1}{\sqrt{LC}}t)u(t)$ ${{v}_{C}}(t)={{V}_{c0}}\cos (\frac{1}{\sqrt{LC}}t)u(t)$ Where ${{V}_{co}}=1V\text{        }\therefore \text{Capacitor Initial Voltage}$ Now, let us write Matlab code to …

Read More »

Digital Multimeter Working Principle

    Fig.1: Digital Multimeter There are two main types of multimeters.  One of the first and oldest multimeters is the analog meter, (Figure 2) and the other, now more widely used meter is the digital multimeter (Figure 1). Fig.2: Analog Multimeter Analog Multimeter Analog meters are a multifunctional multimeter that …

Read More »

Exponential Fourier Series with Solved Example

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 »

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 »

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 »

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 »