Network Theory

State Kirchhoff's Current law.

Draw equivalent circuit for Thevenin's and Norton theorem.

State maximum power transfer theorem.

Write properties for driving point immittance function.

What do you mean by unit step function?

State and explain pole zero concept with any example.

Write equation for ABCD parameter.

Give difference between reciprocity and symmetry for two port network.

What do you mean by division rule in circuit?

State and explain Kirchhoff's Voltage law.

Find the current in the $2\Omega$ resistance in the circuit shown below using Thevenin's theorem. `` +--- 5Ω ---+---( 2Vo )---+ | Vo | - + | [10V] (↑) 3A [2Ω] | | | +----------+-------------+ ``

Find the current through $3\Omega$ resistor of the circuit given below using Norton's theorem, verify the result using Thevenin's theorem. `` +--- 2Ω ---+--- 3Ω ---+----- a | | | (+) (+) [2Ω] [3Ω] (10V) [5Ω] Vx | (-) | (+) 2Vs | | (-) +----------+----------+----- b ``

What will be $V_o(t)$ if supply is $10e^{-t}u(t)$? Assuming the initial current to be $2A$ through the Inductor. `` +--- 1Ω ---+----------+ | | | ( 10e^-t u(t) ) [2H] [4Ω] Vo(t) | | | +----------+----------+ ``

Test whether the roots of given polynomial lie in right half 's' plane using Routh criterion. $$P(s)=s^5+2s^4+2s^3+4s^2+s+1$$

Explain and prove the Superposition Theorem.

Determine the transfer function $Z_{21}$ and $Y_{12}$ in the following network. `` 1H 2F 1H 4Ω 1 o--@@@-------||-------@@@------M-----o 2 | | | [2Ω] = 2F [2Ω] | | | 1 o--------+--------+--------+---------o 2 ``

Find the Fourier series expansion of the following wave - [Graph description: A periodic sawtooth waveform $f(t)$ with period $2\pi$. In each period, the wave increases linearly from $0$ at $t=0$ to $A_0$ at $t=\pi$, then drops instantly to $0$ and remains at $0$ for the interval $\pi \le t\le 2\pi$.]

Find the Y parameters of the network. `` I1 2Ω o----+------M M M------+-----o | | [1Ω] [2Ω] (↓) 3I1 | | | o----+-----------------+-----o ``

Design and explain mesh analysis with any example.

Design nodal analysis method for circuit with suitable example.

Find the current in the $2\Omega$ resistance in the circuit shown below using Norton'ss theorem. `` +--- 5Ω ---+---( 2Vo )---+ | Vo | - + | [10V] (↑) 3A [2Ω] | | | +----------+-------------+ ``

An impedance function is given by - $$Z(s)=\frac{2(s+1)(s+3)}{(s+2)(s+4)}$$ Find the foster first form of the network.