Numerical solutions of Laplace equation.Laplace equation in infinite semi-stripe.Boundary Value Problems for heat equation.Part VI: Partial Differential Equations.
Part III: Non-linear Systems of Ordinary Differential Equations.Part II: Linear Systems of Ordinary Differential Equations.It has got many other commercial applications.It is also used in Mobile applications.Mostly used as a local oscillator in radio receivers.This can be used as a temperature sensor with some associated circuitry.Colpitts oscillator can be used as High frequency sinewave generator.The applications of Colpitts oscillator are as follows − Hence there are many applications of a colpitts oscillator. The Colpitts oscillator is designed to eliminate the disadvantages of Hartley oscillator and is known to have no specific disadvantages. The amplitude of the output remains constant over a fixed frequency range.Less number of components are sufficient.Frequency can be varied by using both the variable capacitors.It can withstand high and low temperatures.Colpitts oscillator can generate sinusoidal signals of very high frequencies.The advantages of Colpitts oscillator are as follows − The equation for frequency of Colpitts oscillator is given asĬ T is the total capacitance of C 1 and C 2 connected in series. When the loop gain |βA| of the amplifier is greater than one, oscillations are sustained in the circuit. Hence, feedback is properly phased to produce continuous Undamped oscillations. Therefore, points 1 and 2 are out of phase by 180 o.Īs the CE configured transistor provides 180 o phase shift, it makes 360 o phase shift between the input and output voltages. If terminal 1 is at positive potential with respect to terminal 3 at any instant, then terminal 2 will be at negative potential with respect to 3 at that instant because terminal 3 is grounded. voltage across C 1 which are applied to the base emitter junction and appear in the amplified form in the collector circuit and supply losses to the tank circuit.
The oscillatory current in the tank circuit produces a.c. When the collector supply is given, a transient current is produced in the oscillatory or tank circuit. the voltage developed across C 1 provides the regenerative feedback required for the sustained oscillations. The capacitor C 1 has its one end connected to base via C c and the other to emitter via C e. The frequency determining network is a parallel resonant circuit which consists of variable capacitors C 1 and C 2 along with an inductor L. The radio frequency choke (R.F.C) offers very high impedance to high frequency currents which means it shorts for d.c. The capacitors C c and C b are employed to block d.c. This also provides temperature stabilization. ground thereby providing any signal degeneration. The resistors R 1, R 2 and R e provide necessary bias condition for the circuit. Let us first take a look at the circuit diagram of a Colpitts oscillator. The constructional details and operation of a colpitts oscillator are as discussed below. A Colpitts oscillator looks just like the Hartley oscillator but the inductors and capacitors are replaced with each other in the tank circuit.
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