A thin conducting wire is bent into the shape of a regular polygon of N sides. A current I flows in the wire. Show that the magnetic flux density at the center is 11eb823e_d6de_c9b3_b220_fdb3c2273405_SM4967_00 where b is the radius of the circle circumscribing the polygon and a n. is a unit vector normal to the plane of the polygon. Show also that, as N becomes very large, this result reduces to that given in Eq. (6- 38) with z = 0.

Field and Wave Electromagnetics 2nd Edition by David Cheng

النسخة 2الرقم المعياري الدولي: 978-0201128192

Field and Wave Electromagnetics 2nd Edition by David Cheng

النسخة 2الرقم المعياري الدولي: 978-0201128192

تمرين 55

A thin conducting wire is bent into the shape of a regular polygon of N sides. A current I flows in the wire. Show that the magnetic flux density at the center is

where b is the radius of the circle circumscribing the polygon and a n. is a unit vector normal to the plane of the polygon. Show also that, as N becomes very large, this result reduces to that given in Eq. (6- 38) with z = 0.

التوضيح

موثّق

Consider the following formula for magne...