Two long, straight wires cross each other perpendicularly as shown in the figure

Question

Two long, straight wires cross each other perpendicularly as shown in the figure below (let I1 = 3.10 A, and I2 = 4.80 A). The wires are thin so that they are effectively in the same plane but do not touch. Find the magnetic field at a point 34.0 cm above the point of intersection of the wires along the z axis; that is, 34.0 cm out of the page, toward you. (Take the positive xdirection to be the right.)

magnitude      ?T direction     Two long, straight wires cross each other perpendicularly as shown in the figure below (let I1 = 3.10 A, and I2 = 4.80 A). The wires are thin so that they are effectively in the same plane but do not touch. Find the magnetic field at a point 34.0 cm above the point of intersection of the wires along the z axis; that is, 34.0 cm out of the page, toward you. (Take the positive xdirection to be the right.)

Explanation / Answer

From I1

B = uI/2pi(r)

B = (4pi X 10-7)(3.1)/(2pi)(.34)

B = 1.824 X 10-6 T to the right

From I2

B = (4pi X 10-7)(4.8)/(2pi)(.34)

B = 2.824 X 10-6 T downward

Net B field is from the Pythagorean Theorem

B2 = (2.824 X 10-6)2 + (1.824 X 10-6)2

B = 3.36 X 10-6 T

For the direction, apply the tangent function

tan (angle) = (2.824 X 10-6)/(1.824 X 10-6)

angle = 57.1o

That is in the third quadrant, so add 180o from the positive x axis

Angle = 237.1o

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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