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  4. Three equal resistors connected in series across a source of e.m.f. together dissipate 10 watt of power. What will be the power dissipated in watt if the same resistors are connected in parallel across the same source of e.m.f. ?

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Q. Three equal resistors connected in series across a source of e.m.f. together dissipate $10$ watt of power. What will be the power dissipated in watt if the same resistors are connected in parallel across the same source of e.m.f. ?

AIPMTAIPMT 1998Current Electricity

Solution:

For series, $R_{e q}=3 r$
Power $=\frac{V^{2}}{3 r}=10$
$ \Rightarrow \frac{V^{2}}{r}=30$.
For parallel $R_{e q}=r / 3$
Power $=\frac{V^{2}}{r / 3}=\frac{3 V^{2}}{r}$
$=3 \times 30=90$ watt.