Question

A wire, of length L = 4.9 mm, on a circuit board carries a current of I = 2.89 μA in the j direction. A nearby circuit element generates a magnetic field in the vicinity of the wire of B = Bxi + Byj + Bzk, where Bx = 3.8 G, By = 4.3 G, and Bz = -2.9 G.

  17% Part (a) Calculate the magnitude of the magnetic field B, in gauss, in the vicinity of the wire due to the circuit element.
  17% Part (b) Calculate the i component of the magnetic force F_x, in newtons, exerted on the wire by the magnetic field due to the circuit element.
  17% Part (c) Calculate the j component of the magnetic force F_y, in newtons, exerted on the wire by the magnetic field due to the circuit element.
  17% Part (d) Calculate the k component of the magnetic force F_z, in newtons, exerted on the wire by the magnetic field due to the circuit element.
  17% Part (e) Calculate the magnitude of the magnetic force F, in newtons, exerted on the wire by the magnetic field due to the circuit element.

  17% Part (f) If you simply multiply the current, the length, and the magnetic field strength ILB, (in appropriate units), you will find that this results in a larger calculated force larger than the answer to part (e). Which of the following scenarios would result in the maximum force exerted on the current carrying wire?

The current runs in the opposite direction as the magnetic field.

The current runs in the same direction as the magnetic field.

The current runs at a 45° angle to the magnetic field.

The current runs perpendicular to the magnetic field.

None of the other proposed changes would alter the force acting on the wire.

Answer 1

The answer for above problem is explained below.