In the circuit shown in figure the current flowing through 25 V cell is

Options

A. `7.2 A`
B. `6A`
C. `12A`
D. `14.2 A`

Answer

c

Explanation

Refer to using Kirchhoff's voltage low to closed circuit `ABJKA,ACHKA,ADGIKA,AEFKA` we have

`30+25=I_(1)xx 11`
`-20+25= _(2)xx5`
`5+25= I_(3)xx 10`
`-10+25= I_(4)xx5`
solving equivalent (i),(ii) and (iv) we get
`I_(1) = 5A,I_(2) = 1A`
`I_(3) = 3A,I_(4) = 3A`
`:.` Current through 25 V cell `= I_(1) + I_(2)+I_(4)= 5+1+3+5= 12A`