Magnetic Flux through a Loop Calculation

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Simple Magnetic Flux Prob...

Homework Statement


Diagram of a rectangular loop with sides a and b, split into two halves: left half in B2 field pointing into the page (crosses), right half in B1 field pointing out of the page (dots).


What is the magnitude of magnetic flux through the loop? (a=22 cm, b=27 cm, B1=1.2 T, B2=1.7 T.)


Homework Equations


MF = AB cos theta


The Attempt at a Solution


MF = AB
So wouldn't I just do ((0.2m * 0.2m) * 1.2) + ((0.22m * 0.27m) * 1.7)
but that's not getting me the right answer...what am I doing wrong?
 
Remember that the fields point in opposite directions in the two regions...