Question: 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

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

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

Data from Eq. 27.2

solenoid: A = A = 0 Ap == 2r

Data from Fig 27.1b

image text in transcribed

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

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