Out of two electric bulbs of 50 W ? 220 V and 100 W ? 220 V. Which one will glow brighter when they are connected in (i) series, and (ii) in parallel?

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Solution

↵Dear Student,

For a given rated voltage bulb,

The resistance of 50 W rated bulb is much more than that of the 100 W bulb.resistance is given by:

R = V²/P

and the total current in the circuit in series is given by:

I = V/R_s

where R_s= R_A +R_B

as same current passes through each bulb when connected in series, 50 W bulb will glow brighter as power ,
P = I²R, is more in case of 50 W bulb.

Similarly, when the bulbs are connected in parallel, 100 W bulb will be much brighter as power,
P = V²/R, is more in case of 100 W bulb.

Regards

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