Current Electricity Charging Discharging Of Capacitors Question 479

Question: There are two electric bulbs of 40 W and 100 W. Which one will be brighter when first connected in series and then in parallel,

[MP PET 1993]

Options:

A) 40 W in series and 100 W in parallel

B) 100 W in series and 40 W in parallel

C) 40 W both in series and parallel will be uniform

D) 100 W both in series and parallel will be uniform

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Answer:

Correct Answer: A

Solution:

$ \frac{R _{1}}{R _{2}}=\frac{P _{2}}{P _{1}}=\frac{100}{40}=\frac{5}{2} $ . Resistance of 40 W bulb is $ \frac{5}{2} $ times than 100 W. In series, $ P=i^{2}R $ and in parallel, $ P=\frac{V^{2}}{R} $ . So 40 W in series and 100 W in parallel will glow brighter.