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

What is difference between 16 bit & 32 bit version of c/c++, What is the ma...

What is the main difference between 16 bit and 32 bit versions of C/C++ while using in line assembler. The 32-bit applications are written by using Microsoft Visual C/C++ for t

Enhance the supply chain, Over 6,000 companies have established operations ...

Over 6,000 companies have established operations within Jebel Ali Free Zone, using it as a base to distribute their products to the GCC countries and beyond. These companies hav

What do you mean by mantissa, Q. What do you mean by Mantissa? The man...

Q. What do you mean by Mantissa? The mantissa , as well known as the significand , represents the precision bits of the number. It is composed of an implied leading bit and t

Determine sequence of modulation frequencies, The generator of AM EMFs cons...

The generator of AM EMFs consists of a battery-driven radiofrequency (RF) EMF generator connected to a 1.5 m long 50 ? coaxial cable, to the other end of which a stainless-steel sp

Spread time - power semiconductor devices , Spread Time (t s ) During  ...

Spread Time (t s ) During  spread time anode  voltage  falls from 10% I a  to the  on state  voltage  drop  and anode  current  rises  from 90% I a   to final  value  of anode

Define temperature coefficient of resistance, Define temperature coefficien...

Define temperature coefficient of resistance. Temperature coefficient of resistance is explained as the change in resistance of a material per ohm per degree change in temperat

Compute l per unit length for plate, Q. The inductance per unit length in H...

Q. The inductance per unit length in H/mfor parallel plate in?nitely long conductors in air is given by L = µ 0 d/w = 4π×10 -7 d/w, where d and w are inmeters.Compute L (per unit

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