Cupid's Arrows

Electricity and Magnetism Level 5

\[\large x^2 + \left(\dfrac {5}{4}y − \sqrt{|x|} \right)^2 = 1 . \]

A 1-\(T\) magnetic field is directed towards and parallel to the positive \(z\)-axis. Determine the magnetic flux (in \(Wb\), to the nearest tenths) of the area enclosed by the equation above.

Plot of the equation above

Plot of the equation above

Details and Assumptions:

  • Assume that 1 unit is equivalent to 1 meter.

  • \(T\) stands for Tesla, the unit of magnetic field strength.


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