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  4. Consider all possible values of R in the circuit shown. Then, the maximum possible rate at which energy can be supplied by the ideal battery to the given combination of resistors is equal to, <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-1b4hb5ds8c2boffa.jpg />

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Q. Consider all possible values of $R$ in the circuit shown. Then, the maximum possible rate at which energy can be supplied by the ideal battery to the given combination of resistors is equal to,
Question

NTA AbhyasNTA Abhyas 2022

Solution:

So, here we want the power delivered by battery to be maximum.
Power delivered by battery $\left(V\right)$ to resistance $\left(R\right)$ ,
$P=\frac{V^{2}}{R}$ .
So, for a given battery, if $R$ is minimum, then $P$ is maximum.
So, here,
Solution
if $R=0$ , then equivalent resistance of circuit is minimum, so $10\Omega$ .
It would be short-circuited. So, equivalent resistance of circuit, $R_{eq}=20\,\Omega$ .
$P=\frac{(20)^2}{(20)}=20 \,W$