What do you mean by superposition and linearity, Electrical Engineering

Assignment Help:

Q. What do you mean by Superposition and linearity?

Mathematically a function is said to be linear if it satisfies two properties: homogeneity (proportionality or scaling) and additivity (superposition),

f (Kx) = Kf (x) (homogeneity)

where K is a scalar constant, and

f (x1 + x2) = f (x1) + f (x2) (additivity)

Linearity requires both additivity and homogeneity. For a linear circuit or system in which excitations x1 and x2 produce responses y1 and y2, respectively, the application of K1x1 and K2x2 together (i.e., K1x1 + K2x2) results in a response of (K1y1 + K2y2), where K1 and K2 are constants. With the cause-and-effect relation between the excitation and the response, all linear systems satisfy the principle of superposition. A circuit consisting of independent sources, linear dependent sources, and linear elements is said to be a linear circuit. Note that a resistive element is linear. Capacitors and inductors are also circuit elements that have a linear input-output relationship provided that their initial stored energy is zero. Nonzero initial conditions are to be treated as independent sources.


Related Discussions:- What do you mean by superposition and linearity

Working of an astable multivibrator, Q. With the help of a npn transistor c...

Q. With the help of a npn transistor circuit and wave forms explain the working of an astable multivibrator In astable multivibrator both transistors are coupled to each other

Explain what is doping, What is meant by doping? Doping: Semiconduct...

What is meant by doping? Doping: Semiconductors in its extremely pure form are termed as intrinsic semiconductor such intrinsic semiconductor to which several suitable impur

Explain working of voltmeter, Q. Explain working of Voltmeter? In order...

Q. Explain working of Voltmeter? In order tomeasure the potential difference between two terminals or nodes of a circuit, a voltmeter is connected across these two points. A pr

Wein bridge, does wein bridge can be used for frequency measurement? how it...

does wein bridge can be used for frequency measurement? how it is possible?

Energy, Explain different stage in energy audit?

Explain different stage in energy audit?

Developed diagram of simplex progressive 2 layer lap winding, Q. Draw the d...

Q. Draw the developed diagram of a simplex progressive 2 layer lap winding for a 4 pole generator with 12 coils clearly indicating the position of brushes.   Sol.  No. o

Back to back test of tranformer, what is the advantage and disadvantage of ...

what is the advantage and disadvantage of back to back test of transformer

Illustrate working of direct-coupled amplifiers, Q. Illustrate working of D...

Q. Illustrate working of Direct-coupled Amplifiers? Direct-coupled Amplifiers : The following figure shows a direct-coupled amplifier consisting of two stages. A dc voltage i

Illustrate about transfer functions, Q. Illustrate about Transfer Functions...

Q. Illustrate about Transfer Functions? The transfer function is a means by which the dynamic characteristics of devices or systems are described. The transfer function is a ma

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