Show that the vector potentials given in Eq. (27.1) imply the magnetic fields given in Eq. (27.2) by evaluating \(\boldsymbol{B}=\boldsymbol{abla} \times \boldsymbol{A}\) in the cylindrical coordinates of Fig. 27.1 (b).

Data from Eq. 27.1

Data from Eq. 27.2

Data from Fig 27.1b

Transcribed Image Text:

Br Inside solenoid: A = A = 0 A 2' BR Outside solenoid: A = A = 0 Ap == 2r