(1) Two long parallel transmission lines 41.0 cm apart carry 23.5 A and 73.0 A c

Question

(1) Two long parallel transmission lines 41.0 cm apart carry 23.5 A and 73.0 A currents. 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 23.5 A

(2) 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 23.5 A , and the second distance from the wire carrying 73.0 A . Separate the values with a comma. answer in cm's (2) 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 23.5 A , and the second distance from the wire carrying 73.0 A . Separate the values with a comma. answer in cm's

Explanation / Answer

let magnetic field be zero at a distance of 23.5 wire, then this point will be at a distance of( 0.41- x)

then B1 = (u0i1/2*pi *x ) and

B2 = (u0i2/2*pi *(0.41-x)

here B1 = B2

thus i1/x = i2/ 0.41-x

23.5 (0.41-x) = 73 x

x(73-23.5 ) = 9.635

x = 0.194 = 19.4 cm from 23.5A wire

or 22.1 from 73 A wire

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