Figure shows two current carrying wires piercing the plane of an imaginary loop. One of the wires is normal to the plane of the loop while the other is at an angle. Calculate the net current enclosed.

Explanation

The current enclosed is simply `I_1+I_2`. There is no need to
take any component of `I_2` perpendicular to the plane of the loop.
All that matters is just the magnitude of the net charge per unit
time that crosses the plane of the loop.
Just as in the case of Gauss's law, the selection of the Amperian
loop is critical for easy application o fhte law. The general rules
while selecting the loop are :
`*` Estimate the direction of the magnetic field around the
current carrying conductor.
`*` The loop should include the current carrying element whose
magnetic field is to be calculated.
`*` The magnetic field should be constant over the whole loop
or should be easy to calculate on the different portions of
the loop.
`*` The dot product `ointvecB.vec(dl)` should be easy to calculate.