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The force exerted on a conductor in a magnetic field is F.
F = BILsin(theta)
Where, F - Force in Newtons
B - Magentic field in Tesla
I - Current in Amperes
L - Length inside the magentic field in Metres
theta - is the angle the wire makes with the magnetic field.
In this instance,
3.5 = 1.8 x 6 x L x sin(90)
3.5 = 1.8 x 6 x L x 1
L = 0.324 m
The length inside the magnetic field is 0.324 m.
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