Saved Bookmarks
| 1. |
A uniform magnetic field Bexists along the Z-direction. A metal wire carrying current I, is placed along the curvey = b sin . (2pi)/lambdax. Calculate the magnetic force acting on a portion fromx = 0 " to " x = 5 lambda. |
|
Answer» Solution : The magnetic field is uniform, therefore, the magnetic force does not depend on the shape of curve. It only depends on the end points (initial or final points) As the metal wire is PLACED perpendicular to the magnetic field, ` theta = 90^(@)` . HENCE the force ` = BIL sin 90^(@) = BIl`. The curve CORRESPONDING to the given equation is as given below T.  The shape of curve resembles of the shape of a wave of wavelength. So, distance between points `Å (x = 0) " and " B (x = 5 lambda)= 5 lambda` ` :. ` Length , `l = 5 lambda` Hence , the magnetic force ` = F = BIl = BI (5 lambda) = 5BI lambda` |
|