Michael's Etoolbox Index

Equivalent Value Solver

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Solves for the equivalent value given a resistor, inductor, capacitor network formula.
Operators: "+", Series connection. "|", Parallel connection. "(" and ")" are parenthesis.

Operations contained in parenthesis "()" are caluclated first with "+" series or "|" parallel being calculated by whichever is leftmost.

[SI] Metric SI unit prefixes such as p=pico, n=nano, u=micro, m=milli, k=kilo, M=mega are valid.

Component Type
Options
Expression
Results Time: 0.0ms

Further Information

The equivalent value solver calculates the equivalent value of a resistor/capacitor/inductor network.

Resistors & Inductors
The equivalent value of resistors in series can be calculated by summing all the series resistor values together.
Req = R1 + R2 + ... + Rn

The equivalent value of resistors in parallel can be calculated by summing the inverse of all the parallel resistor values, and taking the inverse of the result.
1/Req = 1/R1 + 1/R2 + ... + 1/Rn

Like resistors, equivalent inductor values are calculated the same way.
Series: Leq = L1 + L2 + ... + Ln
Parallel: 1/Leq = 1/L1 + 1/L2 + ... + 1/Ln

Capacitors
The equivalent value of capacitors in series can be calculated by summing the inverse of all the series capacitor values, and taking the inverse of the result.
1/Ceq = 1/C1 + 1/C2 + ... + 1/Cn

The equivalent value of capacitors in parallel can be calculated by summing all the parallel capacitor values together.
Ceq = C1 + C2 + ... + Cn

Calculator
The calculator operates by taking the input expression and using the shunting yard algorithm, parsing it into values and operators, generating a Reverse Polish Notation expression, then obtaining the final result.

Operators
The operator for parallel combinations is the ascii pipe symbol, "|". Normally a double pipe would be used but a single pipe is used for simplicity.
Additionally the forward slash "/" can be used as well. For series connections the ascii plus "+" symbol is used.

Reverse Polish Notation (RPN)
In Reverse Polish Notation, the operators follow their operands. This is also known as Postfix Notation. The notation does not need any parentheses for
as long as each operator has a fixed number of operands. RPN is a stack-oriented method of calculating long expressions, so it was used in this calculator.

Shunting Yard Algorithm
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