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

Explanation

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