A long hairpin is formed by bending a very long wire as shown in Fig. 30-73. Tak

Question

A long hairpin is formed by bending a very long wire as shown in Fig. 30-73. Take R = 4.2 mm and the distance between a and b to be much larger than R (each straight section is 'infinite' in length). If the wire carries a 12 A current, what are the direction and magnitude of B at:

a) point a?

(  )mT

b) midpoint b?

( )mT

A long hairpin is formed by bending a very long wire as shown in Fig. 30-73. Take R = 4.2 mm and the distance between a and b to be much larger than R (each straight section is 'infinite' in length). If the wire carries a 12 A current, what are the direction and magnitude of B at: point a? ( )mT midpoint b? ( )mT

Explanation / Answer

B=(1/2)B_loop+2(1/2)B_wire

B=0.5(uoI/2R)+(uoI/2piR)

B=(uoI/2R)[0.5+1/pi]

B=(4pi*10^-7*12/2*4.2*10^-3)[0.5+1/pi]

B=14.36*10^-4 T or 1.436mT

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