Magnetic field penetration in a plate the penetration equation may be written as ? 2 ? 2

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Magnetic field penetration in a plate the penetration equation may be written as ?2?2B?= B,?where ? is the penetration depth.?

(a) Show that B(x) inside a super conducting plate perpendicular to the x?axis and of thickness ? is given by where Ba, is the field outside the plate and parallel to it; here x = 0 is at the center of the plate.?

(b) The effective magnetization M(x) in the plate is defined by B(x) ? Ba, = 4?M(x). Show that, in CGS, 4?M(x) = ? Ba, (1/8?2) (?2 ? 4x2), for ? 0.

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