Two long, parallel transmission lines, 44.0 cm apart, carry 25.5-A and 77.5-A cu

ID: 1787947 • Letter: T

Question

Two long, parallel transmission lines, 44.0 cm apart, carry 25.5-A and 77.5-A currents.

(a) Find all locations where the net magnetic field of the two wires is zero if the currents are in the same direction.

Btot = 0 along a line ____________ m from the wire carrying 77.5 A and ___________________ m from the wire carrying current 25.5 A.

(b) Find all locations where the net magnetic field of the two wires is zero if the currents are in the opposite direction.

Btot = 0 along a line _____________ m from the wire carrying 25.5 A and __________________ m from the wire carrying current 77.5 A.

a] it will happen when field due first wire cancels out that due to second.

uoi1/2pir1 = uoi2/2pir2

25.5/(0.44-r1) = 77.5/r1

r1 = 0.331 m from the wire carrying 77.5 A

r2 = 0.109 m from he wire carrying 25.5 A

b] it will be on the side of 25.5 A wire as it has lesser current.

25.5/r1 = 77.5/(0.44+r1)

r1 = 0.216 m from the wire carrying 25.5 A

and r2 = 0.216 + 0.440 = 0.656 m from the wire carrying 77.5 A

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