Power dissipated across the $$8$$ Ω resistor in the circuit shown here is $$2$$ W. The power dissipated in watt units across the $$3$$ Ω resistor is

Question

Power dissipated across the $$8$$  Ω resistor in the circuit shown here is $$2$$ W. The power dissipated in watt units across the $$3$$  Ω resistor is

Infinity Learn · Accepted Answer

Resistances $$1$$  Ω and $$3$$  Ω are connected in series, so effective resistanceR'$$=1+3=4$$  ΩNow, R' and $$8$$  Ω are in parallel. We know that potential difference across resistances in parallel order is the same.Hence, R'×  $$i1=8i2$$ or   $$4$$  ×   $$i1$$  $$=$$  $$8i2$$   or  $$i1$$ $$=$$ $$84$$  $$i2$$  $$=$$  $$2i2or$$  $$i1$$ $$=$$ $$2i2$$                           …..$$(i)Power$$ dissipated across $$8$$  Ω resistance is           $$i22$$  $$8t=2$$  Wor            $$i22$$ $$t=28=0.25$$  W           ….$$(ii)Power$$ dissipated across $$3$$  Ω resistance is $$H=i12$$  $$3t=2i22$$  $$3t=12i22$$ tBut    $$i22$$ $$t=0.25$$  $$WH=12$$  ×  $$0.25$$  $$=$$  $$3$$  W

Power dissipated across the 8 Ω resistor in the circuit shown here is 2 W. The power dissipated in watt units across the 3 Ω resistor is

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