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

Humming , I am getting humming noice in speaker when I connect to laptop on...

I am getting humming noice in speaker when I connect to laptop on ac when I put it on dc (battery) it''s dispear . Please help

What is meant by biasing transistor, Q. What is meant by biasing transistor...

Q. What is meant by biasing transistor? The purpose of dc biasing of transistor is to obtain a certain dc collector current at a certain dc collector voltage. These values of c

Current flow if 0.45 coulombs is to be transferred in 5 ms, What current m...

What current must flow if 0.45 coulombs is to be transferred in 5 ms? Quantity of electricity, Q = It, then:

Differential amplifier, Ask question #Minimum 100 words What is neeed of d...

Ask question #Minimum 100 words What is neeed of differential amplifier

Voltmeter transistor, explain basic working of voltmeter transistor

explain basic working of voltmeter transistor

Blind equalization using constant modulus approach, please i need to prepar...

please i need to prepare thesis proposal based on the title above. analysis of recently exixting algorithm and propose an improved one. UGENTLY!!

Show the frequency response of rc coupled amplifier, Q. Show the Frequency ...

Q. Show the Frequency response of Rc Coupled Amplifier? 1. At low frequency i.e,less than 50 Hz reactance of Cc is going high hence same part of the signal will pass from one s

Adc instruction, ADC   Instruction This instruction is used to add th...

ADC   Instruction This instruction is used to add the contents of any register of any register  memory location and carry  flag with the  contents of accumulator  and result  i

Illustration of embedded web technology, Illustration of embedded web techn...

Illustration of embedded web technology An oven comprise an embedded processor. Owner can use a web ready mobile phone anywhere to control the oven remotely. By accessing a

Advantages of a.c generator - the alternator, 1) only one pair of slip ring...

1) only one pair of slip rings are required (to energise the rotating field coil) regardless of the number of phases produced by the alternator (three phases is common because of t

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