B. Tech. Network Theory Exam - Winter 2022-23

A network in which the relationship between the input and output is not linear.

A network that does not contain any independent sources of energy.

A network whose parameters are not lumped but are distributed over space.

<p>Classifications can include independent and dependent sources, as well as voltage and current sources.</p> Signup and view all the answers

<p>Node analysis is a method to determine the node voltages in a circuit. It involves applying KCL at each node and solving the resulting equations.</p> Signup and view all the answers

<p>Maximum power transfer theorem states that a source delivers maximum power to a load when the load resistance is equal to the source resistance.</p> Signup and view all the answers

<p>The delta to star transformation allows you to convert a delta network into an equivalent star network. This can simplify analysis and circuit calculations.</p> Signup and view all the answers

<p>The Superposition theorem states that in a linear circuit containing multiple independent sources, the current or voltage at any point can be found by summing the contributions of each source acting independently.</p> Signup and view all the answers

<p>Properties of the Laplace transform include linearity, time-invariance, differentiation, integration, and the initial and final value theorems.</p> Signup and view all the answers

<p>Transient response is the temporary behavior of the circuit before it reaches a stable state, steady state response refers to the stable behavior after all transients have died out.</p> Signup and view all the answers

<p>General solutions encompass all possible solutions to a differential equation, while particular solutions are specific solutions that satisfy certain initial conditions.</p> Signup and view all the answers

<p>Symmetry in Y parameters implies that the Y12 and Y21 parameters are equal. This means that the effect of current in one port on the voltage at another port is reciprocal.</p> Signup and view all the answers

<p>Z parameters are a representation of a two-port network using the impedance matrix. They define the relationship between voltage and current at the network's ports.</p> Signup and view all the answers

<p>The Laplace transform of the unit step signal is 1/s and the Laplace transform of the unit ramp signal is 1/s^2.</p> Signup and view all the answers

<p>Parallel resonance occurs in a circuit when the inductive and capacitive reactances are equal, leading to a high impedance and maximum energy storage.</p> Signup and view all the answers

<p>Frequency response is the filter's output over a range of frequencies, cut-off frequency is the frequency where the filter's output is attenuated by 3 dB, and passband is the range of frequencies where the filter passes signals with minimal attenuation.</p> Signup and view all the answers

<p>Low pass filters are designed to pass low-frequency signals and attenuate high-frequency signals.</p> Signup and view all the answers

<p>A short circuit has zero resistance, allowing current to flow freely, and an open circuit has infinite resistance, blocking any current flow.</p> Signup and view all the answers

<p>Linear elements follow a linear relationship between voltage and current, while non-linear elements exhibit a non-linear relationship.</p> Signup and view all the answers

<p>A unilateral element allows current to flow in one direction only, while a bilateral element allows current to flow in both directions.</p> Signup and view all the answers

<p>Ideal sources maintain their output regardless of the load, while non-ideal sources have internal resistance, impacting their output with changing loads.</p> Signup and view all the answers

<p>KVL (Kirchhoff's Voltage Law) states the sum of voltages around a closed loop is zero, and KCL (Kirchhoff's Current Law) states the sum of currents at a node is zero.</p> Signup and view all the answers

<p>A source delivers maximum power to a load when the load resistance is equal to the Thevenin resistance of the source.</p> Signup and view all the answers

<p>Thevenin's equivalent circuit consists of an ideal voltage source of 10V in series with 8 ohms resistance.</p> Signup and view all the answers

<p>Network elements can be classified based on their behavior as: passive, active, bilateral, unilateral, linear, non-linear, and time-variant.</p> Signup and view all the answers

<p>First order circuits have one energy storage element (capacitor or inductor), while second order circuits have two, resulting in more complex transient responses.</p> Signup and view all the answers

<p>Capacitors store energy in an electric field, oppose changes in voltage, and have an impedance that decreases with increasing frequency.</p> Signup and view all the answers

<p>The current through the inductor is Io * e^(-Rt/L), and the voltage across the inductor is -R * Io * e^(-Rt/L).</p> Signup and view all the answers

<p>Symmetry implies Z12 = Z21, and reciprocity states that Z12 = Z21. These conditions hold for passive, linear, and bilateral circuits.</p> Signup and view all the answers

<p>Y parameters are the admittance matrix, h parameters are the hybrid parameters, and each is related to Z parameters by a specific transformation matrix.</p> Signup and view all the answers

<p>For circuit 1, the current is 1A, and for circuit 2, the current is 0.1A. Both results assume the capacitor was initially charged to 100V before the switch was changed.</p> Signup and view all the answers

<p>f_0 = 1/(2<em>pi</em>sqrt(LC)) where L is inductance and C is capacitance.</p> Signup and view all the answers

<p>Q = R*sqrt(C/L) where R is resistance, C is capacitance and L is inductance.</p> Signup and view all the answers

<p>The design involves calculating L and C using the cut-off frequency and the desired attenuation. Then, the values are adjusted to fit the given resistance.</p> Signup and view all the answers

<p>Transient response refers to the initial behavior of the circuit as it charges to a steady state. Steady state response refers to the condition after all transients have settled, where the capacitor is fully charged.</p> Signup and view all the answers

<p>The tie-set matrix can be written as a row vector with 1s representing the branches present in the chosen tie-set. Likewise, an incidence matrix can be written as a rectangular array with 1s representing the branches connected to the corresponding node. Example matrices can be provided for a specific circuit.</p> Signup and view all the answers

<p>At t = 0+, the current is 0A, and the derivative of current is 100A/s, indicating a sudden jump in current at the moment the switch closes.</p> Signup and view all the answers

<p>i(t) = 10(1 - e^(-t/0.2) A.</p> Signup and view all the answers

<p>The Y parameters are: Y11 = 11/20, Y12 = -1/20, Y21 = -1/20, Y22 = 11/20.</p> Signup and view all the answers

<p>Poles are frequencies that cause the transfer function to grow large, while zeros are frequencies that cause the function to approach zero. These locations indicate the circuit's behavior at specific frequencies.</p> Signup and view all the answers

<p>High pass filters pass high frequencies and attenuate low frequencies, while band pass filters pass a specific band of frequencies and attenuate frequencies outside that band.</p> Signup and view all the answers

<p>Resonance occurs in a series RLC circuit when the inductive reactance is equal to the capacitive reactance, resulting in a minimum impedance and maximum current for that specific frequency</p> Signup and view all the answers

<p>f_r = 1/(2<em>pi</em>sqrt(LC))</p> Signup and view all the answers

<p>The resonant frequency is 159.15 Hz. The bandwidth is 1.59 Hz. The lower and upper frequencies are 158.78 Hz and 159.53 Hz respectively.</p> Signup and view all the answers