dA = HIDI 4r L! r I dA В P Figure 2: Vector potential A from a straight wire & P i) Show that, by integration over d', w

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dA = HIDI 4r L! r I dA В P Figure 2: Vector potential A from a straight wire & P i) Show that, by integration over d', with limits -L/2 and +L/2, the magnitude of the vector potential A is given by: MI (L/2) [1 + (1 + 4p2/L2)1/2) A= In 27 ii) Hence, show that, for p <L?: MIL A In - 27 P iii) Then, show that, for pa «12: І. A In - 21 T iv) Finally, show that, by taking the curl of A, in cylindrical coordinates, B is : - 2mp b) Explain briefly what is the Landé g factor, g B41