Current through XY of circuit shown is

Options

A. `1 A`
B. `4 A`
C. `2 A`
D. `3 A`

Answer

C

Explanation

(c ) `- i_(1) + 0 xx i_(xy) + 3 i_(2) = 0` or `i_(1) = 3 i_(2)`
Also `- 2(i_(1) - i_(xy)) + 4 (i_(2) + i_(xy)) = 0`
or `2 i_(1) 4 i_(2) = 6 i_(xy)`
Also `V_(AB) - 1 xx i_(1) - 2(i_(1) - i_(xy)) = 0 implies 50 = i_(1) + 2 (i_(1) - i_(xy))`
`= 3 i_(1) - 2 i_(xy)`
Solving (i),(ii) and (iii), `i_(xy) = 2A`