net resistance of circuit
R = (20+30)* 100 / ( 20 + 30 + 100)
R = 33.33 ohm
current through circuit
i = V/R = 60/33.33 = 1.8 A
current through the wire
i' = i * 100 / ( 100 + 50) = 1.2 A
field at A
B = (uo/ 4pi) 2 i' / r
B = 10^-7* 2* 1.2 / 0.004
B = 6* 10^-5 T
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