(a) In Figure 24.6, for what orientation is the number of field lines that cross the surface a minimum?

(b) How many field lines cross a plane surface of area \(0.5 \mathrm{~m}^{2}\) placed perpendicular to the field lines in Figure 24.6?

(c) Using your answer to part \(b\), what is the number of field line crossings per unit area through the \(0.5-\mathrm{m}^{2}\) surface?

(d) How does this compare to the number of field line crossings per unit area for the \(1-\mathrm{m}^{2}\) surface in Figure 24.6a?

Transcribed Image Text:

Figure 24.6 The number of field lines that cross a given surface depends on the orientation of the surface relative to the field lines. (a) Plane perpendicular to field lines intersects maximum (b) Same plane at any other orientation intersects fewer field lines number of field lines. E area 1 m E