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Question:

Two electric bulbs P and Q have their resistances in the ratio of 1:2. They are connected in series across a battery. Find the ratio of the power dissipation in these bulbs.

Solution:

Given: Bulb resistance are in ratio 1:2(P:Q)
We know that,Power=I²R
Taking ratio,
PP/PQ=I²RP/I²RQ
Since bulbs are connected in series current flowing will be same so IP=IQ=I
Taking ratio,
PP/PQ=RP/RQ=1/2