A 200 W and a 100 W bulb, both. meant for operation at 220 V are connected in series. When connected to a 220 V supply the power consumed by the, combination is

Question

A 200 W and a 100 W bulb, both. meant for operation at 220 V are connected in series. When connected to a 220 V supply the power consumed by the, combination is (A) 33.3 W (B) 66.7 W (C) 300 W (D) 100 W

Tardigrade Admin · Accepted Answer

When two similar bulbs of different powers are connected in series, then (1/P)=(1/P1)+(1/P2) Given, P1=200 W P2=100 W ⇒ (1/P)=(1+2/200) ⇒ S P=(200/3)=66.7 W

Q. A $200 W$ and a $100 W$ bulb, both. meant for operation at $220 V$ are connected in series. When connected to a $220 V$ supply the power consumed by the, combination is

33.3 W

66.7 W

300 W

100 W

When two similar bulbs of different powers are connected in series, then
$\frac{1}{P} = \frac{1}{P _{1}} + \frac{1}{P _{2}}$
Given, $P_{1} = 200 W$
$P_{2} = 100 W$
$\Rightarrow \frac{1}{P} = \frac{1 + 2}{200}$
$\Rightarrow$ S $P = \frac{200}{3} = 66.7 W$

Q. A 200W and a 100W bulb, both. meant for operation at 220V are connected in series. When connected to a 220V supply the power consumed by the, combination is