# Resistances in parallel

On Microscopic level can you explain how the equivalent resistance of resistances connected in parallel is less than even the smallest resistance among them

• Analogy: why is it easier for a given amount of water to flow through two tubes in parallel, compared to flowing through just one tube? Now what if you replace water with electrons and tubes with wires? Feb 16, 2017 at 18:15
• But its not tube. Theses are resistance which are hindering the flow
– Nerd
Feb 16, 2017 at 18:18
• Actually, there are numerous analogies between fluid mechanics and electronics that may be intuitively helpful, including that a resistor is similar to "a constriction in the bore of the pipe which requires more pressure to pass the same amount of water. All pipes have some resistance to flow, just as all wires have some resistance to current." Feb 16, 2017 at 18:39

The formula used to calculate the resistance is: $$R = \rho \frac{l}{A}$$