1. A wire of length 0.675 mcarries a current of 21.0 A. In the presence of a 0.4
ID: 1723120 • Letter: 1
Question
1. A wire of length 0.675 mcarries a current of 21.0 A. In the presence of a 0.470 T magneticfield, the wire experiences a force of 5.59 N. What is the angle (less than 90°)between the wire and the magnetic field?2. A wire carries a current of 0.66 A. This wire makes anangle of 58° with respect to a magnetic field of magnitude5.70 X 10-5 T.The wire experiences a magnetic force of magnitude 8.10 X 10-5 N. What is thelength of the wire?
1. A wire of length 0.675 mcarries a current of 21.0 A. In the presence of a 0.470 T magneticfield, the wire experiences a force of 5.59 N. What is the angle (less than 90°)between the wire and the magnetic field?
2. A wire carries a current of 0.66 A. This wire makes anangle of 58° with respect to a magnetic field of magnitude5.70 X 10-5 T.The wire experiences a magnetic force of magnitude 8.10 X 10-5 N. What is thelength of the wire?
Explanation / Answer
Q1) length of the wire, L = 0.675 m current, I = 21 A Magnetic field, B = 0.47 T Force, F = 5.59 N Angle between wire and magnetic field, =? F = B I L Sin 5.59 = 0.47 * 21 * 0.675 * sin Sin = 0.8390 = 57.04o Q2) length of the wire, L = ? current, I = 0.66 A Magnetic field, B = 5.70 X 10-5 T Force, F = 8.10 X10-5 N Angle between wire and magnetic field, =58o F = B I L Sin 8.10 X10-5 = 5.70 X10-5 * 0.66 * L * sin 58o L = 2.54m
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