A long hairpin is formed by bending a very long wire, as shown. If the wire cari

Question

A long hairpin is formed by bending a very long wire, as shown. If the wire caries a current of 12 A, what is the magnitude and direction of the magnetic field at in the point a? Take R = 5 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. A 8.55 times 10^-4 B 9.66 times 10^-4 C 1.09 times 10^-3 D 1.23 times 10^-3 E 1.39 times 10^-3 F 1.58 times 10^-3 G 1.78 times 10^-3 H 2.01 times 10^-3 I 2.27 times 10^-3 J 2.57 times 10^-3

Explanation / Answer

at the point a

magnetic field at a = magnetic field due to long wires + magnetic field due to half loop

magnetic field at a = u0 * i/(2pi * R) + u0 * i/(4R)

magnetic field at a = 4pi *10^-7 * 12 * (1/(2pi * 0.005) + 1/(4 * 0.005))

magnetic field at a = 1.234 *10^-3 T

the magnetic field at a is 1.234 *10^-3 T

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