Oscillation is the repetitive variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. Familiar examples include a swinging pendulum and AC power. The term vibration is sometimes used more narrowly to mean a mechanical oscillation but sometimes is used to be synonymous with 'oscillation.' Oscillations occur not only in physical systems but also in biological systems and in human society.The simplest mechanical oscillating system is a mass attached to a linear spring subject to no other forces. Such a system may be approximated on an air table or ice surface. The system is in an equilibrium state when the spring is static.back to equilibrium. However, in moving the mass back to the equilibrium position, it has acquired momentum which keeps it moving beyond that position, establishing a new restoring force in the opposite sense. If a constant force such as gravity is added to the system, the point of equilibrium is shifted. The time taken for an oscillation to occur is often referred to as the oscillatory period.
If a charged oscillator is connected to an inductor, charge begins
to flow in the circuit. As time goes by, charge decreases on the capacitor while the current increases; hence the
electric energy stored in the capacitor decreases while the magnetic energy stored in the inductor increases.
Eventually, all the electric energy is transferred to the magnetic energy. As time goes by, the magnetic energy
is lost in favor of the electric energy, and so on so forth. What we end up with is circuit oscillations whereby
energy is continually converted form electric to magnetic and vice versa.
The circuit oscillations are similar to the oscillations in a
spring-block system where energy is continually converted from elastic energy to kinetic energy and vice
The angular frequency of the LC circuit oscillations is w = ( 1 /
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