Two long parallel transmission lines 42.0{\ m cm} apart carry 22.0{\ m A} and 78

Question

Two long parallel transmission lines 42.0{ m cm} apart carry 22.0{ m A} and 78.0{ m A} currents A. Find all locations where the net magnetic field of the two wires is zero if these currents are in the same direction. Please, enter your answer as a distance from the wire carrying 22.0{ m A} . B. Find all locations where the net magnetic field of the two wires is zero if these currents are in opposite directions. Please, enter your answer as two distances, the first distance from the wire carrying 22.0{ m A} , and the second distance from the wire carrying 78.0{ m A} .

Explanation / Answer

A)

i1/x = i2/(42-x)

==> 22/x = 78/(42-x)

x = 9.24 cm

B)

i1/x = i2/(42+x)

==> 22/x = 78/(42+x)

x = 16.5 cm

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