What do you mean by frequency response, Electrical Engineering

Assignment Help:

Q. What do you mean by Frequency response?

Now let us examine the response of a circuit to a sinusoidal source, called an oscillator, whose frequency can be varied.Known as the frequency response, it is often expressed as a network function,which is an output-input ratio. In order to visualize the changes in phase shift and amplitude as the frequency of the input signal changes, a graphical display of the frequency-response characteristics of networks
is often employed.

A filter is a network used to select one range of frequencies, while rejecting all other frequencies. Let us now consider simple networks which function as filters. For the RC network shown in Figure, the voltage transfer function ¯Vout / ¯Vin is given by

552_Frequency response.png

where H(ω)is the amplitude ratio and θ(ω) is the phase shift. Defining the cutoff frequency as the frequency ω at which H(ω) is reduced to 1/√2, or 0.707 of its maximum value (which is 1.0 at ω = 0), it follows that

1935_Frequency response1.png

and the phase shift becomes -45° at that cutoff frequency, as shown in Figure 3.4.2. The power delivered to the circuit, at this frequency, is one-half the maximum power. As a consequence, ωCO is also called the half-power point, or half-power angular frequency.We see that this filter circuit is indeed a low-pass filter because any input signal components at ω<<ωCO are passed to the output with virtually unchanged amplitude and phase, whereas any components at ω>>ωCO have greatly reduced output amplitudes. ωCO roughly divides the passband (region of transmitted frequencies) from the stopband (region of high attenuation). The range of transmitted frequencies is known as the bandwidth. Note that in Figure 3.4.1 the low-pass filtering properties come from the fact that the capacitor is an open circuit for ω = 0 but becomes a short circuit for ω →∞ and "shorts out" any high-frequency voltage components across the output.


Related Discussions:- What do you mean by frequency response

Explain open loop control systems, Explain Open Loop Control Systems In...

Explain Open Loop Control Systems In an open-loop control system, the controller independently computes exact voltage or current required by the actuator to do the job and send

Determine potential drop between the terminals of a battery, The potential ...

The potential drop between the terminals of a battery is equal to the battery's EMF when: a) No current is drawn from the battery b) A very large current is drawn from th

DC. motors, what''s the difference between DC. motors and AC. motors

what''s the difference between DC. motors and AC. motors

Transistor, what is bias compensation

what is bias compensation

Explain from the drain characteristics, Q. Explain from the drain character...

Q. Explain from the drain characteristics that a JFET has  infinite resistance? When V GS = 0v when a positive voltage Vds has been applied across the channel and the gate

Requirement of a hybrid in telephone networks, Q. What is the requirement o...

Q. What is the requirement of a hybrid in telephone networks? How does it work? Ans: Digital exchanges require receive and transmit signals on separate two-wire circuits. Th

Find the voltage drops across the resistors, Consider the network shown in ...

Consider the network shown in Figure (a). (a) Find the voltage drops across the resistors and mark them with their polarities on the circuit diagram. (b) Check whether the KV

Calculate the magnetic flux in the core, Q. A toroid with a circular cross ...

Q. A toroid with a circular cross section is shown in Figure. It is made from cast steel with a relative permeability of 2500. The magnetic flux density in the core is 1.25 Tmeasur

Sketch the d.c. equivalent circuit of the amplifier, Question: Figure s...

Question: Figure shows the basic circuit of the BJT Common Emitter Amplifier. (a) What is the function of RB, RC, Ci, Co and CE ? (b) (i) Sketch the d.c. equivalent circu

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd