Four identical bulbs are connected in series with a source. These together dissipate a power P. The power dissipated, if the four bulbs are connected in parallel with the same source, will be |
P/4 P/16 4 P 16 P |
16 P |
The correct answer is Option (4) → 16 P Let resistance of each bulb = $R$ Series combination resistance = $4R$ Power in series: $P = \frac{V^2}{4R}$ Parallel combination resistance = $\frac{R}{4}$ Power in parallel: $P' = \frac{V^2}{R/4} = \frac{4V^2}{R}$ Now, $\frac{P'}{P} = \frac{\frac{4V^2}{R}}{\frac{V^2}{4R}} = \frac{4V^2}{R} \cdot \frac{4R}{V^2} = 16$ Therefore, $P' = 16P$ Answer: $16P$ |