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

Determine the voltage across resistor, Determine the voltage across the 20-...

Determine the voltage across the 20- resistor in the following circuit of Figure (a) with the application of superposition.

Knowledge of science and engineering fundamentals, Knowledge of science and...

Knowledge of science and engineering fundamentals Knowledge of basic science and engineering fundamentals is necessary for engineers to develop solution to any complex problem

Merits and demerits of voltage divider bias, Merits and Demerits of Voltage...

Merits and Demerits of Voltage divider bias: Merits: 1. Not like the above circuits, only one dc supply is essential. 2. Operating point is approximately independent o

States kirchoff''s voltage law, States Kirchoff's Voltage Law Kirchoff...

States Kirchoff's Voltage Law Kirchoff's Voltage Law (KVL) describes in any closed loop in a network, the algebraic sum Figure of the voltage drops (i.e. products of current

Compare the percent error of both meters, Q. Error speci?cations on a 10-A ...

Q. Error speci?cations on a 10-A digital ammeter are given as 0.07% of the reading, 0.05% of full scale, 0.005% of the reading per degree Celsius, and 0.002% of full scale per degr

Draw a state diagram of 3-bit ripple counter, The block diagram for a 3-bit...

The block diagram for a 3-bit ripple counter is shown in Figure (a). Obtain a state table for the number of pulses N = 0 to 8, and draw a state diagram to explain its operation.

Why digital signal processing require specialized hardware, Why does digita...

Why does digital signal processing require specialized hardware? A) It needs to perform analog as well as digital functions. B) General-purpose microprocessors cannot perfor

Define pipelining, Define pipelining? In 8086, to speedup the implement...

Define pipelining? In 8086, to speedup the implementation of program, the instructions fetching and implementation of instructions are overlapped each other. This method is kno

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