v1 i1 10 i2 5 10 V V2 20 30 SolutionAns Resistances 10 and

Solution

Ans) Resistances 10 and 5 in parallel gives Req1=10*5/(10+5)=3.333 ohms

and Resistances 20 and 30 in parallel gives Req2=20*30/(20+30)=12 ohms

and the above two parallel circuits is in series gives total equivalent resistance Req

Req=Req1+Req2=3.333+12=15.333 ohms

Now total current I=V/Req=10/15.33=0.652 A

Using current division rule i₁=I*5/(5+10)=0.217 A

i₁=0.217 A

V₁=i₁*10=2.17 V

Using current division rule i₂=I*20/(20+30)=0.2608 A

i₂=0.2608 A

V₂=i₂*30=7.824 V

Power dissipated in 10 ohms resistor=V₁*I₁=0.47 W

Power dissipated in 30 ohms resistor=V₂*I₂=2.04 W