There are ' $n$ ' number of identical electric bulbs, each is designed to draw a power $p$ independe

Question

There are ' $n$ ' number of identical electric bulbs, each is designed to draw a power $p$ independently from the mains supply. They are now joined in series across the mains supply. The total power drawn by the combination is\

Professor PC Thomas Classes · Answer

(a) : $R_{s}=R_{1}+R_{2}+R_{3}+\ldots \ldots \ldots+R_{n}$ $$ \frac{V^{2}}{p_{s}}=\frac{V^{2}}{p_{1}}+\frac{V^{2}}{p_{2}}+\ldots \ldots \ldots+\frac{V^{2}}{p_{n}} $$ (Here, $p_{1}=p_{2}=\ldots \ldots=p_{n}=p$ )\ $\frac{1}{p_{S}}=\frac{1}{p}+\frac{1}{p}+\ldots \ldots n$ times\ $	herefore \quad p_{S}=\frac{p}{n}$