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Application of Ohm's law-Current in parallel combination of 2 resistors

we know, in parallel combination

resistance,R=\(\frac{\(R_{1}\)\(R_{2}\)}{(\(R_{1}\)+\(R_{2}\)})

and,V=\(i_{1}\)\(R_{1}\)=\(i_{2}\)\(i_{2}\)\(R_{2}\)=iR

Consider,

iR=\(i_{1}\)\(R_{1}\)

=>\(i_{1}\)=\(\frac{iR}{\(R_{1}\)})

=>\(i_{1}\)=\(\frac{i\(\frac{\(R_{1}\)\(R_{2}\)}{\(R_{1}\)+\(R_{2}\)

**=>\(i_{1}\)=\(\boxed{\(\frac{i\(R_{2}\)}{\(R_{1}\)+\(R_{2}\)})})

similarly,

\(\boxed{\(i_{2}\)=\(frac{i\(R_{1}\)}{\(R_{1}\)+\(R_{2}\)})})

Note by Madhav Srirangan
5 months, 2 weeks ago

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Please inclue LaTex in \(\backslash(\ldots\backslash)\) for proper formatting. Rohit Udaiwal · 5 months, 1 week ago

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