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Obtain an expression for equivalent resi...

Obtain an expression for equivalent resistance of two resistors connected in parallel.

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Resistors are said to be connected in parallel when,
(i) Voltage remains common (ii) Current branches out in each of the resistors such that
`I=I_(1)+I_(2)`
From Ohm.s law, V=IR so that `I_(1)=V/(R_(1)),I_(2)=V/(R_(2))`.
Hence, `I=V(1/(R_(1))+1/(R_(2)))`
or `1/(R_(P))=1/V=1/(R_(1))+1/(R_(2))`
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