The drawing shows a wire composed of three segments, AB, BC, and CD. There is a

Question

The drawing shows a wire composed of three segments, AB, BC, and CD. There is a current of I = 2.1 A in the wire. There is also a magnetic field B (magnitude = 0.27 T) that is the same everywhere and points in the direction of +z axis. The lengths of the wire segments are LAB = 1.4 m, LBC = 0.5 m, andLCD = 0.5 m. Find the magnitude of the force that acts on each segment.

The drawing shows a wire composed of three segments, AB, BC, and CD. There is a current of I = 2.1 A in the wire. There is also a magnetic field B (magnitude = 0.27 T) that is the same everywhere and points in the direction of +z axis. The lengths of the wire segments are LAB = 1.4 m, LBC = 0.5 m, and LCD = 0.5 m. Find the magnitude of the force that acts on each segment.

Explanation / Answer

magnetic force F = ilB sin theta

a. on segment LAB

Fab = 2.1* 1.4* 0.27 = 0.7938 N

on segment BC,

Fbc =iLB = 2.1* 0.27*0.5 = 0.2835 N

on segment CD
Fcd = 2.1* 0.27*0.5 = 0.2835 N

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