A long wire carrying a 5.0 A current perpendicular to the xy-plane intersects the x-axis at x= – 2.0 cm . A second, parallel wire carrying a

Question

A long wire carrying a 5.0 A current perpendicular to the xy-plane intersects the x-axis at x= – 2.0 cm . A second, parallel wire carrying a 3.5 A current intersects the x-axis at x=+ 2.0cm .

A). At what point on the x-axis is the magnetic field zero if the two currents are in the same direction?

B). At what point on the x-axis is the magnetic field zero if the two currents are in opposite directions?

in progress 0
Ben Gia 4 years 2021-08-22T22:54:32+00:00 1 Answers 10 views 0

Answers ( )

  1. Sigrid
    0
    2021-08-22T22:56:00+00:00
    Reply

    Answer:

    a . 0.35cm

    b.  11.33cm

    Explanation:

    a. Given both currents are in the same direction, the null point lies in between them. Let x be distance of N from first wire, then distance from 2nd wire is 4-x

    #For the magnetic fields to be zero,the fields of both wires should be equal and opposite.They are only opposite in between the wires:

    \frac{\mu_oi_1}{2\pi x}=\frac{\mu_oi_2}{2\pi(4-x)}\\\\5/x=\frac{3.5}{4-x}\\\\x=2.35cm\\\\N=2.35-2=0.35cm

    Hence, for currents in same direction, the point is 0.35cm

    b. Given both currents flow in opposite directions, the null point lies on the other side.

    #For the magnetic fields to be zero,the fields of both wires should be equal and opposite.They are only opposite in outside the wires:

    Let x be distance of N from first wire, then distance from 2nd wire is 4+x:

    \frac{\mu_oi_1}{2\pi(4+ x)}=\frac{\mu_oi_2}{2\pi x}\\\\5/(4+x)=\frac{3.5}{x}\\\\x=9.33cm\\\\N=9.33+2=11.33cm

    Hence, if currents are in opposite directions the point on x-axis is 11.33cm

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )