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To find the force on a conductor within a magnetic field, we use the formula:
[ F = B I L sin(theta) ]
Where:
– (F) is the force (in newtons, N),
– (B) is the magnetic flux density (in teslas, T; in this case, you mentioned units, so I’ll assume the units are meant to be teslas),
– (I) is the current (in amperes, A),
– (L) is the length of the conductor (in meters, m),
– (theta) is the angle between the direction of the current and the direction of the magnetic field.
Given:
– (B = 20) tesla (assuming the “units” mentioned are tesla),
– (I = 0.5) A,
– (L = 12) m,
– Assuming the angle (theta = 90^circ) (since the angle isn’t provided, and the maximum force occurs when the angle is 90 degrees, which means (sin(90^circ) = 1)).
Plugging in the values:
[ F = 20 times 0.5 times 12 times sin(90^circ) ]
[ F = 10 times 12 ]
[ F = 120 text{ N} ]
Thus, the force on the conductor is 120 newtons.
b
Explanation: The force on a conductor is given by F = BIL, where B = 20, I = 0.5 and L =
12. Force F = 20 X 0.5 x 12 = 120 N.