Two long, parallel conductors, separated by 13.0 cm, carry currents in the same

Question

Two long, parallel conductors, separated by 13.0 cm, carry currents in the same direction. The first wire carries a current I1 = 6.00 A, and the second carries I2 = 8.00 A. (See figure below. Assume the conductors lie in the plane of the page.)

(a) What is the magnetic field created by I1 at the location of I2?

(b) What is the force per unit length exerted by I1 on I2?

(c) What is the magnetic field created by I2 at the location of I1?

(d) What is the force per length exerted by I2 on I1?

magnitude T direction ---Select--- in the +x direction in the -x direction in the +y direction in the -y direction in the +z direction in the -z direction

Explanation / Answer

1)

magnetic field created by i1

B1 = u0*i1/(2*pi*d)

B1 = u0*6/(2*pi*.13)

B1 = 9.233 *10^-6 T

and direction is +z direction

2)

as F = BIL

force on I2 = 9.233 *10^-6 * 8

force on I2 = 7.39 *10^-5 N/m

the force is attractive , hence it is in -y direction

c)

magnetic field created by I2

B2 = u0*I2/(2*pi*d)

B2 = u0*8/(2*pi*.13)

B2 = 1.231 *10^-5 T

and direction is +z direction

d

as F = BIL

force on I2 =   1.231 *10^-5 * 6

force on I2 = 7.39 *10^-5 N/m

the force is attractive , hence it is in +y direction

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.