A solenoid of radius r = 1.25 cm and length = 31.0 cm has 285 turns and carries

Question

A solenoid of radius r = 1.25 cm and length = 31.0 cm has 285 turns and carries 12.0 A.

http://www.webassign.net/serpse8/30-p-047.gif

http://www.webassign.net/serpse8/30-p-047.gif

(a) Calculate the flux through the surface of a disk-shaped area of radius R = 5.00 cm that is positioned perpendicular to and centered on the axis of the solenoid as in the figure (a) above.
__? µWb


b) Figure (b) above shows an enlarged end view of the same solenoid. Calculate the flux through the tan area, which is an annulus with an inner radius of a = 0.400 cm and outer radius of b = 0.800 cm.
___? µWb

Explanation / Answer

B = Ni/L

   = 4*3.14e-7 * 285 * 12 / 0.31

   = 0.01386 T

a)

= B * A

   = 0.01386 * 3.14 * (1.25e-2)2

   = 6.80 Wb

b)

= B * A

A = (b)2 - (a)2

   = 3.14 * (0.8e-2)2 - 3.14 * (0.4e-2)2

   = 2.0096e-4 - 0.5024e-4

   = 1.5072e-4 m2

= B * A

   = 0.01386 * 1.5072e-4

   = 2.09 Wb

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