Problem #1p Suppose that there exists a U-shaped current-carrying wire with curr
ID: 1423796 • Letter: P
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Problem #1p Suppose that there exists a U-shaped current-carrying wire with current I as shown in Fig 1. Find the magnetic field (magnitude and direction) at point (1). Assume that the straight parts of the wire extend infinitely far to the right, and that the circular part has a radius a Remember that the magnitude of the magnetic field at a distance d from an infinite wire is: 2Td (a) Find the magnetic field (magnitude and direction) at point (1) (b) (bonus) What would be the magnitude of the magnetic field at (1), if= 2.0 A and a 0.02 m?Explanation / Answer
Magnetic field from a semi-infinitely long wire is µ0*I/4a
as both semi-infinitely long wire apply a magnetic field of the same value in the direction out of the plane.
The Net Magnetic field from a semi-infinitely long wire is (µ0*I/4a) +(µ0*I/4a)=µ0*I/2a
The magnetic field at centre of a current carrying semicircle is µ0*I/4a
The direction of the magnetic field at the centre of a current carrying semicircle is out of the plane.
Net magnetic field at point (1) =(µ0*I/2a)+(µ0*I/4a)
2)Net magnetic field at point (1) =(µ0*I/2a)+(µ0*I/4a)
=((4*10-7 *2)/(2*0.02))+((4*10-7 *2)/(4*0.02))=11.14*10-5T
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