Two bulbs $A$ and $B$ are rated as $90\, W -120 \,V$ and $60\, W -120\, V$ respectively. They are connected in parallel across a $120\, V$ source. Find the current in each bulb. Which bulb will consume more energy ?

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$(i)$ For the first bulb,

Resistance, $R_{1}=\frac{V^{2}}{P_{1}}=\frac{(120)^{2}}{90}=160 \Omega$

$\therefore \quad$ Current, $I_{1}=\frac{V}{R}=\frac{120}{160}=0.75 A$

For the second bulb,

Resistance, $R _{2}=\frac{ V ^{2}}{ P _{2}}=\frac{(120)^{2}}{60}=240 \Omega$

$\therefore \quad$ Current $, I _{2}=\frac{ V }{ R }=\frac{120}{240}=0.5 A$

$(ii)$ Bulb $A$ will consume more energy, because it has more power.

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