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Parallel Resistance

A circuit composed solely of resistors in parallel is a parallel circuit.

The reciprocal of the equivalent resistance equals the sum of the reciprocals of the resistances.

Formula

QuantityVariable["R", "ElectricResistance"]^(-1) == QuantityVariable[Subscript["R", "1"], "ElectricResistance"]^(-1) + QuantityVariable[Subscript["R", "2"], "ElectricResistance"]^(-1)

symbol description physical quantity
R equivalent resistance "ElectricResistance"
R1 resistance 1 "ElectricResistance"
R2 resistance 2 "ElectricResistance"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Parallel Resistance"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Parallel Resistance"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ResourceObject["Parallel Resistance"], {QuantityVariable[ \!\(\*SubscriptBox[\("R"\), \("2"\)]\),"ElectricResistance"] -> Quantity[20, "Ohms"]}]
Out[3]=

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