Abstract :
AN ELECTRIC SYSTEM consisting of two inductance-capacitance loops with negligible resistance, and inductively coupled together, has a dynamic analogue in the form of a freely rolling ball on an elevated surface, an example of which is sketched in Figure 1. The time integrals of the loop currents (q1 and q2) are used as displacements along co-ordinates x1 and x2, with the loop currents themselves analogous to the velocity of the ball along those coordinates. The magnetic field energy becomes analogous to the kinetic energy of the ball if the scales of the co-ordinates are made proportional to the square roots of the corresponding self-inductances, and x1 is inclined with respect to x2 at angle β, the angle whose cosine is the coefficient of coupling.
