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uni/mmme/2051_electromechanical_devices/basic_circuitry.md
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uni/mmme/2051_electromechanical_devices/basic_circuitry.md
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author: Akbar Rahman
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date: \today
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title: MMME2051 // Basic Circuitry
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tags: []
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uuid: 6767b7f0-705a-43a1-9e02-aeee6b454538
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---
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# Symbols & Notations Used in Circuit Diagrams
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# Series Circuits
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Summary of this section in tabular form found in slides p30.
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## Resistors
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\begin{align*}
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I &= I_1 = I_2 = I_3 \\
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V &= V_1 + V_2 + V_3 \\
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R &= R_1 + R_2 + R_3
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\end{align*}
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## Inductors
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More inductors in series makes is harder for current to change rapidly.
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\begin{align*}
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I &= I_1 = I_2 = I_3 \\
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V &= V_1 + V_2 + V_3 \\
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L &= L_1 + L_2 + L_3
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\end{align*}
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## Capacitors
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More capacitors in series makes is easier for voltage to change rapidly.
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\begin{align*}
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I &= I_1 = I_2 = I_3 \\
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V &= V_1 + V_2 + V_3 \\
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\frac 1C &= \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3}
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\end{align*}
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# Parallel Circuits
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## Resistors
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\begin{align*}
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I &= I_1 + I_2 + I_3 \\
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V &= V_1 = V_2 = V_3 \\
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\frac 1R &= \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}
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\end{align*}
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## Inductors
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More inductors in parallel makes is easier for current to change rapidly.
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\begin{align*}
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I &= I_1 + I_2 + I_3 \\
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V &= V_1 = V_2 = V_3 \\
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\frac 1L &= \frac{1}{L_1} + \frac{1}{L_2} + \frac{1}{L_3}
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\end{align*}
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## Capacitors
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More capacitors in parallel makes is harder for voltage to change rapidly.
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\begin{align*}
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I &= I_1 + I_2 + I_3 \\
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V &= V_1 = V_2 = V_3 \\
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C &= C_1 + C_2 + C_3
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\end{align*}
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