Why i = 0 A ?

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1 Answer
May 31, 2018

See below

Explanation:

You have a #bb B# field as follows:

  • #bb B = ((0),(0),(0.2 e^(-0.1 y)))#

If you flip the loop so its surface, #S#, is parallel to the x-y plane, then its unit normal vector is along the y-axis:

  • #bb hat n = ((0),(1),(0))#

The magnetic flux, #Phi#, through the surface #S# is then:

  • #Phi = int int_S bb B * bb hat n \ dS = int int_S 0 \ dS = 0#