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 = 3.40 A, and I2 = 5.15 A). The wires do not touch.

(a) Find the magnitude of the magnetic field at point P, which is in the same plane as the two wires.
in

Two long, straight wires cross each other perpendicularly as shown in the figure below (let I1 = 3.40 A, and I2 = 5.15 A). The wires do not touch. (a) Find the magnitude of the magnetic field at point P, which is in the same plane as the two wires. in A Mu T (b) Find the direction of the magnetic field at point P.(multiple choice) out of the page into the page 56.6 A degree clockwise from the +x direction 56.6 A degree counterclockwise from the +x direction 33.4 A degree clockwise from the +x direction 33.4 A degree counterclockwise from the +x direction ? (c) Find the magnetic field at a point 27.5 cm above the point of intersection of the wires along the z axis; that is, 27.5 cm out of the page, toward you. magnitude in µT? direction? out of the page into the page 56.6 A degree clockwise from the +x direction 56.6 A degree counterclockwise from the +x direction 33.4 A degree clockwise from the +x direction 33.4 A degree counterclockwise from the +x direction

Explanation / Answer

a) From the figure,

B1 = mue*I1/(2*pi*d1)

= 4*pi*10^-7*3.4/(2*pi*0.3)

= 2.27 micro T ( in to the page)

B2 = mue*I2/(2*pi*d2)

= 4*pi*10^-7*5.15/(2*pi*0.4)

= 2.58 micro T ( out of the page)

Bnet = B2 - B1

= 2.58 - 2.27

= 0.31 micro T (out of the page)

b) out of the page

c)

B1 = mue*I1/(2*pi*d1)

= 4*pi*10^-7*3.4/(2*pi*0.275)

= 2.47 micro T ( towards +x axis)

B2 = mue*I2/(2*pi*d2)

= 4*pi*10^-7*5.15/(2*pi*0.275)

= 3.74 micro T ( towards -y axis)

Bnet = sqrt(B1^2 + B2^2)

= sqrt(2.47^2 + 3.74^2)

= 4.48 micro T <<<<<<<<<<<<<----------Answer

direction : theta = tan^-1(B2/B1)

= tan^-1(3.74/2.47)

= 56.6

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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