Two equal resistances when connected in series to a battery, consume electric power of 60 W . If these resistance are now connected in parallel combination to the same battery, the electric power cons

Question

Two equal resistances when connected in series to a battery, consume electric power of 60 W . If these resistance are now connected in parallel combination to the same battery, the electric power consumed will be :

TestHub · Accepted Answer

When two resistances are connected in series, $R_{e q} = 2 R$

Power consumed, $P = \frac{ε ^{2}}{R _{ea}} = \frac{ε ^{2}}{2 R}$

In parallel condition, $R_{eq} = R /2$ New power, $P^{'} = \frac{ε ^{2}}{( R /2 )}$

or $P^{'} = 4 P = 240 W (∵ P = 60 W)$

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