Answer:
2.72 m.
Explanation:
Using,
F = BiLsin∅.................... Equation 1
Where F = Force on conductor carrying current in a magnetic field, B = magnetic Field, i = current, L = Length, ∅ = angle between the wire and the magnetic field.
make L the subject of the equation
L = F/Bisin∅................... Equation 2
Given: F = 8.9×10⁻⁵ N, B = 6.4×10⁻⁵ T, i = 0.71 A, ∅ = 46°
Substitute into equation 2
L = 8.9×10⁻⁵ /[6.4×10⁻⁵× 0.71×sin46°]
L = 8.9/[6.4×0.71×0.72]
L = 8.9/3.272
L = 2.72 m.
