Two parallel conductors carry current in opposite directions. One conductor carr

Question

Two parallel conductors carry current in opposite directions. One conductor carries a current of 10.0-A. Point A is at the midpoint between the wires, and point C is at a distance d/4 below the wire carrying the 10.0-A current. If d=36.4cm and I is adjusted so that the magnetic field is zero at C, find

(a) The value of the current I. What should do first?
A

(b) The magnetic field at point A.
T

Two parallel conductors carry current in opposite directions. One conductor carries a current of 10.0-A. Point A is at the midpoint between the wires, and point C is at a distance d/4 below the wire carrying the 10.0-A current. If d=36.4cm and I is adjusted so that the magnetic field is zero at C, find (a) The value of the current I. What should do first? A (b) The magnetic field at point A. T

Explanation / Answer

here , magnetic field due to a long wire is given as

B = u0*I/(2*pi*d)

Now, here ,

FOr the field at C is zero

B = u0*10/(2*pi*d/4) - u0*I/(2*pi*(d+d/4))

4*10/d - I/1.25d = 0

I = 50 A

the current I is 50 A

b)

Now, at the point A

B = B1 + B2

B = u0*(50 + 10)/(2*pi*d/2)

B = 4*pi*10^-7 * 60 /(pi*0.364)

B = 6.59 *10^-6 T

the magnetic field at point A is 6.59 *10^-6 T

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