Asked Sep 23, 2019

Two long, parallel transmission lines, 4.0 cm apart, carry
1.0-A and 3.0-A currents. Find all locations where the net magnetic field
of the two wires is zero if these currents are in (a) the same direction
and (b) the opposite direction.


Expert Answer

Step 1

Figure shows the two long parallel transmission lines 4 cm apart carrying i1 and i2 currents. Let x be the distance from i1 conductor.


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f-.- 4 cm =1A =3A

Step 2

Here, µo is the permeability of free space, i is current and r is distance from the conductor to imagined point. Magnetic field (B) due to a straight wire, is given by


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В Мi В - 2лr

Step 3


Let at distance x from a 1 A wire, the net magnetic field is zero if currents in the ...


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В, 3 В, М.i 2л(4 — х) 2лх (1A) (3А) 4-х х 4 -х %3 3х х%3D1 сm х%3D(4-1) сm %33 ст


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Magnetic Effects of Current

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