Physic Labs

Problem 2

A straight wire segment of length L=0.40 mL=0.40\,\mathrm m carries steady current I=3.0 AI=3.0\,\mathrm A in a uniform field B=0.50 TB=0.50\,\mathrm T. The field makes angle α=30∘\alpha=30^\circ with the current; end effects are neglected. (a) Determine the magnetic-force magnitude. (b) Evaluate it for these data. (a) Find the first requested quantity. (b) Find the second quantity. (c) Determine the final result and check its units. (a) (a) Express the magnetic force as a cross product. (b) Find its magnitude. (c) Evaluate it and state when the force vanishes.
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F=0 if α=0∘;Fmax=ILBF=0\text{ if }\alpha=0^\circ;\quad F_{max}=ILB
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Finally substitute the given values and check units and limiting behavior. The result agrees with the signs and scale implied by the model and previous parts.