A wire is bent so that it forms the arc of two partial circles complete except f
ID: 2260511 • Letter: A
Question
A wire is bent so that it forms the arc of two partial circles complete except for an angle alpha, and these partial circles are connected by two radial pieces, all as shown. The inner partial circle has a radius R1, and the outer partial circle has a radius R2. The center of the circles is the point C. A current, I, goes through the wire as shown.
(a) Use the Biot-Savart law to find the magnetic field at the point C due to current in both staight radial wires, B straight.
(b) Use the Biot-Savart law to find the magnetic field at the point C due to current in the inner partial circle of wire, Binner.
(c) Use the Biot-Savart law to find the magnetic field at the point C due to current in the outer partial circle of the wire, B outer.
(d) Find the net magnetic field at the point C, B net.
A wire is bent so that it forms the arc of two partial circles complete except for an angle alpha, and these partial circles are connected by two radial pieces, all as shown. The inner partial circle has a radius R1, and the outer partial circle has a radius R2. The center of the circles is the point C. A current, I, goes through the wire as shown. Use the Biot-Savart law to find the magnetic field at the point C due to current in both straight radial wires, B straight. Use the Biot-Savart law to find the magnetic field at the point C due to current in the inner partial circle of wire, Binner. Use the Biot-Savart law to find the magnetic field at the point C due to current in the outer partial circle of the wire, B outer. Find the net magnetic field at the point C, B net.Explanation / Answer
a. due to radial field is zer0 b.
a. magnetic field at the point C is Bnet at C due to inner radius R1 = (u0 i ?/4)(1/R1)
where all i = current ,? is the angle, R1 and R2 are inner and outer raidus respectively
c. magnetic field at the point C is Bnet at C = (u0 i ?/4)(1/R2)
where all i = current ,? is the angle, R1 and R2 are inner and outer raidus respectively
d. magnetic field at the point C is Bnet at C = (u0 i ?/4)(1/R1 -1/R2)
where all i = current ,? is the angle, R1 and R2 are inner and outer raidus respectively
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