The power consumed when $10 \mathrm{~V}$ voltage is applied to a series combination of 10 resistors of each…
The power consumed when $10 \mathrm{~V}$ voltage is applied to a series combination of 10 resistors of each $1 \Omega$ is $\mathrm{P}_{\mathrm{s}}$ and the power consumed when the same $10 \mathrm{~V}$ is applied to the parallel combination of these 10 resistors is $P_p$. The value of $\frac{\mathrm{P}_{\mathrm{s}}}{\mathrm{P}_{\mathrm{p}}}$ is
$10$
$100$
$0.1$
$0.01$
Solution
We have
$\mathrm{P}_{\mathrm{S}}=\frac{\mathrm{V}^2}{\mathrm{R}_{\mathrm{S}}}=\frac{10^2}{10}=10$
and,
$\mathrm{P}_{\mathrm{P}}=\frac{\mathrm{V}^2}{\mathrm{R}_{\mathrm{P}}}=\frac{10^2}{\frac{1}{10}}=1000$
So, $\frac{\mathrm{P}_{\mathrm{S}}}{\mathrm{P}_{\mathrm{P}}}=\frac{10}{1000}=0.01$