A 3.0 m long wire carrying a current of 1.0 A through amagnetic field of magnitu

Question

A 3.0 m long wire carrying a current of 1.0 A through amagnetic field of magnitude 10.0T experiences a force of 4.0kN entirely due to the current passing through the magnetic field.What angle does the wire make with the magnetic field?
a. 7.6 degree b. 82 degree c. 0.0023 degree d. 7.7 degree A 3.0 m long wire carrying a current of 1.0 A through amagnetic field of magnitude 10.0T experiences a force of 4.0kN entirely due to the current passing through the magnetic field.What angle does the wire make with the magnetic field?
a. 7.6 degree b. 82 degree c. 0.0023 degree d. 7.7 degree

Explanation / Answer

.           Length,L = 3 m .           Current, I = 1 A .           Magnetic field, B = 10 T .           Force, F = 4 N .            Force,F = B I L sin .           Sin = [ F / ( B I L ) ] .           Sin = [ 4 / ( 10 * 1 * 3 ) ] .            Sin = 2 / 15 .            Angle made by the wire with the field, = arc sin ( 2 / 15) .                                                                          =7.66 o . .                                                                         = 7.7 o . .

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