If power in $3\,\Omega $ is $27\,W$ then what is the power in $2\,\Omega $ ................ $\mathrm{W}$
Medium
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in series $\mathrm{P} \propto \mathrm{R}$
$\frac{27}{P}=\frac{3}{4 / 3}$
$\Rightarrow \mathrm{P}=12 \mathrm{\,W}$
in parallel combination
$P=P_{1}+P_{2}$ and $P \propto \frac{1}{R}$
$\frac{P_{1}}{P_{2}}=\frac{4}{2} \Rightarrow P_{2}=\frac{P_{1}}{2}$
$\mathrm{P}=12=\mathrm{P}_{1}+\mathrm{P}_{2}$
$12=\frac{3 P_{1}}{2}$
$\mathrm{P}_{1}=8 \mathrm{\,W}$
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