Homemade ammeter (corrected)

A conductor swing inside a magnetic flux density \(B = 0.5 \,\text{T}\) is deflected by an angle of \(\alpha = 10^\circ\) due to the Lorentz force.

How large is the DC current \(I\) through the conductor in units of milliamps (mA), to the nearest integer?

Details and Assumptions:

  • The conductor swing is a pendulum with mass \(m = 4\text{ g}\).
  • Take the gravity acceleration as \(g = 10 \,\text{m}/\text{s}^2\).
  • The lenght of the swinging conductor inside the magnetic field is \(l = 6\, \text{cm}\).

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