Resonant circuits

Abstract

In this chapter we look at special cases of series and parallel R-L-C a.c. circuits, namely those in which the current drawn from the supply is in phase with the supply voltage. This condition is known as resonance. Resonance is a natural condition which occurs when an object (in our case, the components in a circuit) have a natural frequency which vibrates in sympathy with the forcing signal (in our case, the supply frequency). In terms of a mechanical system, we have the case where an opera singer can cause a glass to shatter when a very high note is produced. By the end of this chapter, the reader will be able to Appreciate the significance of resonance in series and parallel circuits. Calculate the current in, and the voltage across elements in resonant circuits. Determine the power consumed by resonant circuits. Calculate the Q-factor of resonant circuits. Evaluate the dynamic resistance or dynamic impedance of a parallel resonant circuit. Use computer software associated with resonant circuits