(8c29p11) A long hairpin is formed by bending a very long wire, as shown. If the

Question

(8c29p11) A long hairpin is formed by bending a very long wire, as shown. If the wire caries a current of 13 A, what is the magnitude and direction of the magnetic field at the point a? Take R = 6 mm. Take the sign of B to be positive if the direction is out of the paper and negative if B is into the paper. You need to enter the number with its sign and a space and the unit.

What is the magnitude and direction of the magnetic field at the midpoint b? The distance between a and b are much larger than R (each straight section is "infinite"). Take the sign of B to be positive if the direction is out of the paper and negative if B is into the paper.

Explanation / Answer

consider each magnetic field individually and find the value using B=[(permeability)*(current)]/2*pi*r Then you need to add the VECTORS at that point (not just the values). You do that by multiplying B*cos(45*) and then multiplying that value by 2 to account for the two magnetic fields. x Magnetic field (B) is a vector quantity. Because both of these currents are going into the paper, their magnetic field will circle clockwise and overlap at the point of interest. B here is tangent to the circular magnetic field. The left-hand wire will be at an angle down from the parallel toward the left and the richt-hand wire will be at an angle up from the parallel and toward the left. Thus, their resultant will be exactly to the left.

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

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