(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

it can be seen as half a loop of wire and two half-innite lengths of wire Thus,
Bb =(1/2)Bloop+2(1/2)Bwire

=(1/2)(oI/2R)+0I/2R

=(oI/2R)[1/2 +1/]

given I=13A ,R=6mm

Bb =4*10-7*13/2*6*10-3(1/2+1/)

=1.11*10-3T =1.11mT

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