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4.* An infinite wire with current I₁ lies on the z-axis, which is coming out of the page in the figure below: 12 R I₁O a b Surrounding the infinite wire is a finite segment of wire with current I₂. The finite wire consists of a vertical segment with length a, a circular arc (3/4 of a full circle) with radius R centered on the infinite wire, and a horizontal segment with length b. The finite wire could be part of a larger system, but we will just consider this part of it. a) What is the force on the finite segment of wire due to the magnetic field of the infinite wire? b) Determine the magnetic field due to the finite segment of wire at the center of the circular arc (where the infinite wire is coming out of the screen).

4.* An infinite wire with current I₁ lies on the z-axis, which is coming out of the page in the figure below: 12 R I₁O a b Surrounding the infinite wire is a finite segment of wire with current I₂. The finite wire consists of a vertical segment with length a, a circular arc (3/4 of a full circle) with radius R centered on the infinite wire, and a horizontal segment with length b. The finite wire could be part of a larger system, but we will just consider this part of it. a) What is the force on the finite segment of wire due to the magnetic field of the infinite wire? b) Determine the magnetic field due to the finite segment of wire at the center of the circular arc (where the infinite wire is coming out of the screen).

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4.* An infinite wire with current I₁ lies on the z-axis, which is coming out of the page in the figure below: 1₂ R I₁O a b Surrounding the infinite wire is a finite segment of wire with current I₂. The finite wire consists of a vertical segment with length a, a circular arc (3/4 of a full circle) with radius R centered on the infinite wire, and a horizontal segment with length b. The finite wire could be part of a larger system, but we will just consider this part of it. a) What is the force on the finite segment of wire due to the magnetic field of the infinite wire? b) Determine the magnetic field due to the finite segment of wire at the center of the circular arc (where the infinite wire is coming out of the screen).
Transcribed Image Text:4.* An infinite wire with current I₁ lies on the z-axis, which is coming out of the page in the figure below: 1₂ R I₁O a b Surrounding the infinite wire is a finite segment of wire with current I₂. The finite wire consists of a vertical segment with length a, a circular arc (3/4 of a full circle) with radius R centered on the infinite wire, and a horizontal segment with length b. The finite wire could be part of a larger system, but we will just consider this part of it. a) What is the force on the finite segment of wire due to the magnetic field of the infinite wire? b) Determine the magnetic field due to the finite segment of wire at the center of the circular arc (where the infinite wire is coming out of the screen).
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