Well ! You must be waiting for this! Last test in this series, which is based on linear circuits and power amplifiers. MCQs included in the test are from previous GATE papers (1992 to 2004 - to be specific). Difficulty level is normal. No linked questions or common data questions. Few questions are figure based numerical problems and remaining are theory based questions.
POINTS YOU SHOULD ALSO KNOW :
**DIODES : Transition,diffusion capacitance,breakdown mechanisms
**DIODE CIRCUITS : Clippers, clampers, rectifiers (half,full,bridge with filter analysis)
**BJT/FET : biasing circuits, stability, small signal analysis and parameters
**AMPLIFIERS : multistage, effect of feedback with analysis,Miller's theorem, frequency response - cut-off frequencies and their dependency
**OP-AMPS : op-amp configurations, typical circuits, active filters, function generators,555 timers
**OSCILLATORS : Sinusoidal oscillators(Berk Hausen Criteria), LC(Hartley, Colpitts, Clapp),RC(Phase Shift, Wein Bridge),XTAL(Piezo)
--->>>---CLICK-HERE--->>>GATE EC PRACTICE TEST:ANALOG CIRCUITS-PART-IV : LIC/PA---<<<---
Hola !!!
This is the third test in 'analog circuits' practice tests series. All MCQs are BJT/FET numerical based with figures and elaborate explanation. Main point covered is FET and BJT small signal analysis.Hope you like this one. Now remaining last test in this series will be based on Linear circuits and power amplifiers.As it is not possible to include each and every point in the syllabus,I have taken only important points for tests. In the last post on this topic I will highlight the points which I missed out during this test series.
--->>>---C-L-C-K-H-E-R-E--->>>---GATE EC PRACTICE TEST : ANALOG CIRCUITS : PART - III - BJT/FET --->>>--->>>
The second in this series. I have tried to include some figure based numerical problems and common data or linked answer type questions. I'll add one more test on this topic containing linear circuits based questions. But still I think BJT and FET part is not covered completely by any of the tests so will add one more test solely belonging to these three terminal devices.
Go Here To Give Online Test :
-->>>-C-L-I-C-K->>>-H-E-R-E->>> GATE EC PRACTICE TEST : ANALOG CIRCUITS - PART - II
Analog Circuits is the most important topic as far as GATE scoring is considered. It is the core of electronics engineering field . Most of the numerical questions and linked answer questions in GATE EC paper come from this subject and the questions on frequency responses of amplifiers, cut-off frequencies, FET parameters, transistor biasing are most common. I am starting series of tests on this topic. First test consists only simple theoretical concepts and few direct formula based numericals.
Please do comment here if you like/dislike. Your feedback is appreciated and is valuable. I will try my best to post tests on daily basis,so check blog frequently if you haven't subscribed.
GATE EC PRACTICE TEST : ANALOG CIRCUITS - I
Chain Rule :
Let w = f(x,y,z) be continuous and have continuous first partial derivative in a domain D in xyz-space. Let x = x(u,v), y = y(u,v), z = z(u,v) be functions that are continuous and have first partial derivatives in a domain B in the uv-plane, where B is such that for every point (u,v) in B, the corresponding point [x(u,v), y(u,v), z(u,v)] lies in D. Then the function
w = f(x(u,v), y(u,v), z(u,v))
is defined in B, has partial derivatives w.r.t. u and v in B,
Mean Value Theorem :
Let f(x,y,z) be continuous and have continuous first partial derivative in a domain D in xyz space. Let P0 :(x0,y0,z0) and P : (x0 + h,y0 + k,z0 + l) be points in D such that the straight line segment P0P joining these points lies entirely in D. Then
Indefinite Integrals :
If f(x) and F(x) are two functions of x such that
d/dx{f(x)} = F(x), then integral of F(x) is
where c is any constant. Due to the addition of 'c' it is an indefinite integral.
Definite Integrals
If f(x) is a continuous functions of x in [a,b] and ψ(x) is another function of x such that
then
Theorem of Integral Calculus :
Gamma Function :
Beta Function :
Euler's Theorem on Homogeneous Function:
If z is homogeneous function of x, y of order n, then
Taylor's Series of Two Variables :
If f(x, y) and all its partial derivatives up to nth order are finite and continuous for all points (s, y),
where a ≤ x ≤ a + h, a ≤ y ≤ a + k
Then
Maximum Value Theorem:
A function of x,y will be the maximum at x = a, y = b.
if f(a, b) > f(a+h, b+k)
or
if f(a+h, b+k) - f(a,b) < 0, then f(a,b) is maximum.
Minimum Value Theorem
A function of x,y will be the minimum at x = a, y = b.
if f(a, b) < f(a+h, b+k)
or
if f(a+h, b+k) - f(a,b) > 0, then f(a,b) is minimum.
Line Integral :
If 
is a vector function.
Then Line Integral of 
along any given curve DC will be
where 
is a unit vector along tangent of curve PQ
Surface Integral :
Surface integral of over S is given surface
where
Volume Integral :
Volume integral of over the volume V enclosed by a closed surface.
Green's Theorem :
where
are continuous function over a region R bounded by simple closed curve C in x-y plane.
Stroke's Theorem :
is unit external normal to any surface dS.
Gauss's Theorem of Divergence :
The surface integral of the normal component of a vector function taken around a closed surface S is equal to the integral of the divergence of taken over the volume V enclosed by the surface S.
