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Parallel resistance
Storyboard 
When the resistors are connected in parallel, they are all exposed to the same potential difference which, by Ohm's law, generates different currents. The total current is the sum of the partial currents, so the total resistance is the inverse of the sum of the inverse of the individual resistances.
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Parallel resistors (Diagram)
Image
The diagram representing resistors connected in parallel has the following form:
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Resistance in parallel
Equation
Al conectarse resistencias
$I=\displaystyle\sum_iI_i$
Como en cada resistencia se cumple la ley de Ohm
$\Delta\varphi=R_iI_i$
la suma de corrientes se puede escribir como
$I=\displaystyle\sum_i\displaystyle\frac{\Delta\varphi}{R_i}$
Por ello se puede definir una resistencia total para el caso de suma paralela es con de la forma
| $\displaystyle\frac{1}{ R_p }=\displaystyle\sum_i\displaystyle\frac{1}{ R_i }$ |
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Sum of resistors in parallel (2)
Equation
The parallel combination of the hydraulic Resistance 1 ($R_{h1}$) and the hydraulic Resistance 2 ($R_{h2}$) results in a total equivalent of the total hydraulic resistance in series ($R_{st}$):
 $\displaystyle\frac{1}{ R_{pt} }=\displaystyle\frac{1}{ R_{h1} }+\displaystyle\frac{1}{ R_{h2} }$ |
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Sum of resistors in parallel (3)
Equation
The parallel combination of the hydraulic Resistance 1 ($R_{h1}$), the hydraulic Resistance 2 ($R_{h2}$), and the hydraulic Resistance 3 ($R_{h3}$) results in a total equivalent of the total hydraulic resistance in series ($R_{st}$):
| $\displaystyle\frac{1}{ R_{pt} }=\displaystyle\frac{1}{ R_{h1} }+\displaystyle\frac{1}{ R_{h2} }+\displaystyle\frac{1}{ R_{h3} }$ |
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Hydraulic conductance in series (2)
Equation
The series combination of the hydraulic conductance 1 ($G_{h1}$) and the hydraulic conductance 2 ($G_{h2}$) results in a total sum of the total Series Hydraulic Conductance ($G_{st}$):
| $\displaystyle\frac{1}{ G_{st} }=\displaystyle\frac{1}{ G_{h1} }+\displaystyle\frac{1}{ G_{h2} }$ |
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Hydraulic conductance in series (3)
Equation
The series combination of the hydraulic conductance 1 ($G_{h1}$), the hydraulic conductance 2 ($G_{h2}$) and the hydraulic conductance 3 ($G_{h3}$) results in a total sum of the total Series Hydraulic Conductance ($G_{st}$):
| $\displaystyle\frac{1}{ G_{st} }=\displaystyle\frac{1}{ G_{h1} }+\displaystyle\frac{1}{ G_{h2} }+\displaystyle\frac{1}{ G_{h3} }$ |
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