A battery if internal resistance `4Omega` is conneted to the network of resistances as shown. What must be the value of R so that maximum power is delivered to the network Find the maximum power?

Explanation

According to maximum power transfer theorem
`R_(ext)=R_(int)=(3Rxx6R)/(9R)=4impliesR=(4)/(2)=2Omega`
(ii). `P_(max)=i^(2)R_(ext)=((E)/(4+4))^(2)xx4=(E^(2))/(16)`