Electric Oscillations

Tags: #physics #oscillations

Equation

ImpedanceZ=R+ixSeries connectionV=IZ,Ztot=iZi ,  Ltot=iLi ,  1Ctot=i1Ci ,  Q=Z0R ,  Z=R(1+iQδ)Parallel connection1Ztot=i1Zi ,  1Ltot=i1Li ,  Ctot=iCi ,  Q=RZ0 ,  Z=R1+iQδ

Latex Code

1
2
3
4
5
6
                     \text{Impedance} \\
Z=R+ix \\
\text{Series connection} \\
V=IZ, Z_{\rm tot}=\sum_i Z_i~,~~L_{\rm tot}=\sum_i L_i~,~~ \frac{1}{C_{\rm tot}}=\sum_i\frac{1}{C_i}~,~~Q=\frac{Z_0}{R}~,~~ Z=R(1+iQ\delta) \\
\text{Parallel connection} \\
\frac{1}{Z_{\rm tot}}=\sum_i\frac{1}{Z_i}~,~~ \frac{1}{L_{\rm tot}}=\sum_i\frac{1}{L_i}~,~~ C_{\rm tot}=\sum_i C_i~,~~Q=\frac{R}{Z_0}~,~~ Z=\frac{R}{1+iQ\delta}

Have Fun

Let's Vote for the Most Difficult Equation!

Introduction

Equation



Latex Code

1
2
3
4
5
6
\text{Impedance} \\
Z=R+ix \\
\text{Series connection} \\
V=IZ, Z_{\rm tot}=\sum_i Z_i~,~~L_{\rm tot}=\sum_i L_i~,~~ \frac{1}{C_{\rm tot}}=\sum_i\frac{1}{C_i}~,~~Q=\frac{Z_0}{R}~,~~ Z=R(1+iQ\delta) \\
\text{Parallel connection} \\
\frac{1}{Z_{\rm tot}}=\sum_i\frac{1}{Z_i}~,~~ \frac{1}{L_{\rm tot}}=\sum_i\frac{1}{L_i}~,~~ C_{\rm tot}=\sum_i C_i~,~~Q=\frac{R}{Z_0}~,~~ Z=\frac{R}{1+iQ\delta}

Explanation

Latex code for the Electric oscillations. I will briefly introduce the notations in this formulation.

  • : Phase Angle
  • : Impedance of a Resistor
  • : Capacitor
  • : Self inductor
  • : Quality of a coil

Related Documents

Related Videos

Comments

Write Your Comment

Upload Pictures and Videos