A copper sheet with length 1.29 m, width 0.561 m, and thickness 1.39 mm is oriented so that its largest surface area is perpendicular to a magnetic field of strength 4.99 T. The sheet carries a current of 2.99 A across its length. a) What is the magnitude of the force on this sheet? b) What would the magnitude of the force on a thin 1.29-m-long copper wire be, if it carried the same current and was oriented perpendicularly to the same magnetic field?
The net force on the Cu sheet is the same as it would be due to a single wire carrying the same current Consider the sheet to carry n parallel lines of currents of i Amps each (ni 2.99A) The force on each current line BiL The net force on all current lines n(BiL) B(ni)L the same as treating the sheet as a single wire with current ni 2.99A Magnetic force B.I.L (4.99T)(2.99A)(1.29m) ?F 19.25N Same force for a single wire carrying same current.
