Electrodynamic Puzzlers

Below find an animation of the electric (black) and magnetic (multicolored) fields in a simple LC oscillator. This one consists of nothing more than a capacitor in series with a one-loop inductive coil. If you equate the voltage across the capacitor* with that across the inductor**, you get the second order differential equation of a harmonic oscillator. Like a spring or torsional pendulum, this predicts the ``sloshing'' of energy between capacitor electric fields and inductor magnetic fields with a repeat period of 2π(LC)^1/2 seconds.

* (namely V_C = Q/C, where Q is charge and capacitance C = Q/V ~ ε_o PlateArea/Spacing.)
** (namely V_L=-L Q'', where Q''=d²C/dt² and for an N-turn loop of radius r, inductance L=NΦ_B/I~Nμ_oπr/2)

A careful look at the animation will show this to be happening with reversals of the +/- charge on the capacitor, and the N/S poles of the magnetic field, taking place at well-coordinated times. The viewpoint shifts rightward each time energy goes into up or down electric fields, and leftward as energy goes into front or back pointing magnetic fields. Here are a few puzzlers...

• When the loop's north magnetic pole points rightward, is the current flowing clockwise or counterclockwise?
• If the radius R of the solenoid in this model were one centimeter, what would the LC circuit's approximate resonant frequency be? Note: For this latter problem, you'll also need to estimate the radius r and separation d of the capacitor plates?
• What is the wavelength of the electromagnetic radiation that such a circuit would "tune". Is this in the ultraviolet, X-ray, infrared, visible-light, radio-frequency or microwave range?
• Conversely, one might ask you to time the oscillation period in the animation, and from that determine the physical size of the LC oscillator actually pictured.