The Response of RLC Resonant Circuits to EMF of Sawtooth Varying Frequency

By the use of Laplace transforms, the author derives the expression of the current flowing in an RLC series resonant circuit under the excitation of an emf, the frequency of which follows a sawtooth law. He shows that the response is composed of two terms, one arising during each sweep, the other resulting from the preceding sweeps. The bandwidth at -3 db of the circuit is introduced as a general parameter, and some curves obtained by graphical integration are given and compared with curves computed by other authors. The influence of the limits of exploration is discussed.