A straight conducting rod extends from the origin to the point with position vector…
PHYSICS · Multi-part · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism
Problem
A straight conducting rod extends from the origin to the point with position vector r=(0.30^+0.45^−0.15k^)m in Cartesian coordinates. A constant current of 5.0 A flows in the rod from the origin toward the endpoint. The rod is placed in a region with a uniform magnetic field given by B=(0.20^−0.40^+0.10k^)T.
(a) Determine the magnitude of the magnetic force acting on the rod.
(b) Express the magnetic force as a vector in component (unit-vector) form.
(c) Calculate the angle between the magnetic-force vector found in part (b) and the positive z-axis.
(d) Determine whether the magnetic field exerts any net torque on the rod about the origin and justify your conclusion quantitatively.