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In the circuit shown, the value of curre...

In the circuit shown, the value of currents `I_(1), I_(2) and I_(3)` are

A

`3A,(-3A)/(2)A,(9)/(2)A`

B

`(9)/(2)A,(-3)/(2)A`

C

`5A, 4A,-3A`

D

`7A,(5)/(4)A,(9)/(2)A`

Text Solution

Verified by Experts

The correct Answer is:
A
Applying Kirchoff's voltage law,
`"In loop" I,-27-6I_(2)-2I_(1)+24=0
`
`6I_(2)+2I_(1)=-3...(i)`
`"In loop"II, -27-6I_(2)+4I_(3)=0`
`6I_(2)+4I_(1)=-27...(ii)`
At juction,P, `I_(1)-I_(2)-I_(3)=0…(iii)`
Solving equations (i), (ii) and (iii) we get
`I_(1)=3A,I_(2)=-3//2A, I_(3)==9//2A`
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