A plane wire loop of irregular shape is situated so that part of it is in a uniform magn...

A plane wire loop of irregular shape is situated so that part of it is in a uniform magnetic field B (in Fig. 5.57 the field occupies the shaded region, and points perpendicular to the plane of the loop). The loop carries a current I . Show that the net magnetic force on the loop is F = I Bw, where w is the chord subtended. Generalize this result to the case where the magnetic field region itself has an irregular shape. What is the direction of the force?

Figure 5.57