**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\(R_{1}\)}{\(R_{1}\)+\(R_{2}\)})})

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