notes/uni/mmme/2051_electromechanical_devices/basic_circuitry.md

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2023-02-17 13:24:14 +00:00
---
author: Akbar Rahman
date: \today
title: MMME2051 // Basic Circuitry
tags: []
uuid: 6767b7f0-705a-43a1-9e02-aeee6b454538
---
# Symbols & Notations Used in Circuit Diagrams
![](./images/vimscrot-2023-02-09T11:07:33,231545943+00:00.png)
![AC Voltage Source](./images/vimscrot-2023-02-09T12:35:04,954248906+00:00.png)
# Series Circuits
Summary of this section in tabular form found in slides p30.
## Resistors
![](./images/vimscrot-2023-02-09T11:25:05,307411437+00:00.png)
\begin{align*}
I &= I_1 = I_2 = I_3 \\
V &= V_1 + V_2 + V_3 \\
R &= R_1 + R_2 + R_3
\end{align*}
## Inductors
More inductors in series makes is harder for current to change rapidly.
![](./images/vimscrot-2023-02-09T11:26:21,405008860+00:00.png)
\begin{align*}
I &= I_1 = I_2 = I_3 \\
V &= V_1 + V_2 + V_3 \\
L &= L_1 + L_2 + L_3
\end{align*}
## Capacitors
More capacitors in series makes is easier for voltage to change rapidly.
![](./images/vimscrot-2023-02-09T11:26:43,223213152+00:00.png)
\begin{align*}
I &= I_1 = I_2 = I_3 \\
V &= V_1 + V_2 + V_3 \\
\frac 1C &= \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3}
\end{align*}
# Parallel Circuits
## Resistors
![](./images/vimscrot-2023-02-09T11:27:45,821432874+00:00.png)
\begin{align*}
I &= I_1 + I_2 + I_3 \\
V &= V_1 = V_2 = V_3 \\
\frac 1R &= \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}
\end{align*}
## Inductors
More inductors in parallel makes is easier for current to change rapidly.
![](./images/vimscrot-2023-02-09T11:30:46,501506991+00:00.png)
\begin{align*}
I &= I_1 + I_2 + I_3 \\
V &= V_1 = V_2 = V_3 \\
\frac 1L &= \frac{1}{L_1} + \frac{1}{L_2} + \frac{1}{L_3}
\end{align*}
## Capacitors
More capacitors in parallel makes is harder for voltage to change rapidly.
![](./images/vimscrot-2023-02-09T11:31:31,829222602+00:00.png)
\begin{align*}
I &= I_1 + I_2 + I_3 \\
V &= V_1 = V_2 = V_3 \\
C &= C_1 + C_2 + C_3
\end{align*}