Dipping my toe into Maxwell's Law and FS Discriminator

The law states the E field is represented by a vector. The vector length represents the strength of the field and its has direction. The vector can be rotated 0 to 360 degrees to show the direction of the field.

Here we have some examples of vectors representing fields.
There is also a law for magnetic fields which says we can represent B (magnetic) fields with vectors. There is a little difference between E and B fields. E fields extend to infinity or until they are absorbed by a particle of opposite polarity. E fields are radiated by positive charged and absorbed by negative charged particles. Magnetic fields form closed loops. There is a three way relation between E fields, B fields, and motion. E fields in motion create B fields. In other words current in a wire will create an electromagnet. A conductor moving in a B field will cause a current to flow in the wire. These factors will always be present perpendicular to each other. We analyze their interactions using vectors. The arrow above the E says use a vector to represent it.

Some use FBI to remember the left hand rule. The thumb is F the direction the wire is Forced to travel. B is the direction of the magnetic field. (north to south) I is the direction of induced current.

The rule being applied when the wire is fed a current while resting in a magnetic field.

A current carrying conductor will have a field around it. This illustrates the field polarity. The E field will be radiating perpendicular to the wire surface. As I said before the E field, B field and motion. In this case the motion is current flow.

This brings us to the left hand rule for coils.

This is how to find the total inductance when coils are in series and parallel as long as the fields do not interact.

Take a look at Ohm's Law.

Put your thumb over the unknown and the formulas is what's left. Look at (A) two or more inductors 1/Lt = 1/L1 + 1/L2 + 1/L3 and assume E=1. Using I = E/R we find the current in each path. Adding give the total current and using the assumed 1 volt for 1/Lt gives our total. Anywho, I went through all that to get here.

Using vector analysis we can see how the discriminator works.