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.
problems.proof.stepOf
problems.proof.prevStepproblems.proof.nextStep
F=(3.0)(0.40)(0.50)sin⁡30∘F=(3.0)(0.40)(0.50)\sin30^\circ
problems.proof.analysis

Rearranging the governing relation isolates the first requested result. Keeping the signs explicit also checks that its direction and magnitude are physically sensible.