Two infinitely long straight wires carrying currents I, and I are perpendicular to the by-plane as shown in the figure. The current I2 is unknown. The x-component of the net magnetic field, B, = 0 at point P. Find the y-component
By at P.
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P
50 cm
30 cm
40 cm
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11 = 8 A
12

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Pe = 1/2k(x)^2  and .05n/m = .05x10^-9m = x 

Ohm's law tells you that i = v/r where v is equivalent voltage and r is equivalent resistance of the circuit
since all circuits have the same voltage, your question is really asking which circuit has the lowest total resistance, since the lower the resistance, the higher the current
circuit a has a resistance of 5 ohms; circuit c is in series so has a resistance of 10 ohms; circuit b is in parallel and therefore has a resistance of 2.5 ohms (review your notes on adding resistances in parallel and series); therefore b has the highest current