# Two coils have a combined resistance of 9? when c...

Two coils have a combined resistance of 9? when connected in series and 2 ? when connectedin parallel. Find the resistance of each coil.

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Two coils have a combined resistance of 9? when connected in series and 2 ? when connectedin parallel. Find the resistance of each coil.

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## Answers ( 1 )

From the problem we haveWhen in series, R_{1}+ R_{2}= 18When inparallel, R_{1}R_{2}/ ( R_{1}+ R_{2}) =2solving the two equation, we get a QuadraticequationR_{1}^{2}- 9R_{1}+ 18 = 0solving we get R_{1}=6? and R_{2}= 3? 0rR_{1}= 3? and R_{2}= 6?