Electricity and Magnetism · Problem 7.1

ALTERNATING-CURRENT CIRCUITS — Edward Purcell & David Morin

Physics — E&M · electromagnetic-induction-motional-emf

Problem

Current in a bottle ** An ocean current flows at a speed of 2 knots (approximately 1 m/s) in a region where the vertical component of the earth's magnetic field is 0.35 gauss. The conductivity of seawater in that region is 4 (ohm-m)−1^{-1}. On the assumption that there is no other horizontal component of E\mathbf{E} than the motional term v×B\mathbf{v} \times \mathbf{B}, find the density JJ of the horizontal electric current. If you were to carry a bottle of seawater through the earth's field at this speed, would such a current be flowing in it?

Related theory

Browse the problem library