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

ID: 1617209 • Letter: A

Question

A long hairpin is formed by bending a very long wire, as shown. If the wire caries a current of 17 A, what is the magnitude and direction of the magnetic field at the point a? Take R = 11 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. 1.08 times 10^-4 1.44 times 10^-4 1.91 times 10^-4 2.54 times 10^-4 3.38 times 10^-4 4.49 times 10^-4 5.97 times 10^-4 7.95 times 10^-4

Explanation / Answer

here Bnet = Bdue to semicirle + B due to 2 wires

so

Bnet = uoI/4R + uoI/2piR

Bnet = (4pi *10^-7 * 17) *(1/(4*0.011) + 1/(2*3.14 * 0.011))

Bnet = 7.95 *10^-4 tesla

option H is the correct answer here

The Direction of the magnetic field is out of the page

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