# 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.

**Details and Assumptions**:

Assume that 1 unit is equivalent to 1 meter.

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