consider two conducting loops with fixed geometries and at fixed positions. Let I1 and I2 be the currents flowing in the loops 1 and 2. how does Faraday's Law allow the currents I1 and I2 to affect each other? farday's law says that changing the flux between loops 1 will induce an emf in loop 2. where there are 2 loops at rest, a steady current I around loop 1 will produce a magnetic field B, where some of the field lines will pass through loop 2. but does Faraday say anything without changing the flux? Write down a set of two equations for the currents I1(t) and I1(t) in terms of the various induction coefficients. induction coefficients might be the biggest problem here... if self inductance is Lii then coefficients of inductance are Lij. what exactly is the difference? under which conditions on the coefficients can the currents I1 and I2 oscillate? i am totally lost on this one. maybe if the coefficients are opposite? no clue!