Current Electricity Charging Discharging Of Capacitors Question 575

Question: 3 identical bulbs are connected in series and these together dissipate a power P. If now the bulbs are connected in parallel, then the power dissipated will be

[DPMT 2005]

Options:

A) $ \frac{P}{3} $

B) 3P

C) 9P

D) $ \frac{P}{9} $

Show Answer

Answer:

Correct Answer: C

Solution:

When bulbs are connected in series, $ P=\frac{V^{2}}{{{R}’}}=\frac{V^{2}}{3R} $ When bulbs are connected in parallel, $ {P}’=\frac{V^{2}}{{{R}’’}}=\frac{V^{2}\times 3}{R}=3\times 3P=9P. $