Network Theory – Verified PYQ Authority Guide
Network Theoryis a sub-subject authority hub. It is designed to expose the important topic/concept clusters represented by verified SRO PYQs and guide students from broad revision into the exact solved questions that support each area. Every factual learning cue below is drawn from the existing verified, published and approved English PYQ corpus or from its Knowledge Graph relationships; the hub does not invent unsupported technical claims.
PYQ evidence snapshot
18 verified PYQsare currently mapped to this Sub Subject hub. The represented years include2026, 2025. Exam coverage currently includesDeputy Executive Engineer (Electrical), Class-2, Sports Authority of Gujarat / Assistant Engineer (Electrical), Class-2,, Assistant Engineer (Electrical), Class-2, Road and Building Department. Subject context includesElectrical Engineering. These values come from live mappings and can expand automatically when new verified PYQs are added.
Most useful verified PYQs to solve first
Start with the actual questions rather than memorising a generic note. The links below are ranked from the mapped corpus using repeat history and editorial quality, while the complete explanation stays on the individual question page.
- A two-port network has Z11 = 20 Ω, Z22 = 10 Ω, Z12 = Z21 = 5 Ω. Then 1. Network is reciprocal. 2. Input impedance depends on load connected. 3. Z-parameters…
Deputy Executive Engineer (Electrical), Class-2, Sports Authority of Gujarat / Assistant Engineer (Electrical), Class-2, · 2026 · Reciprocity and Loaded Input Impedance
Z-parameters express two-port terminal voltages as linear combinations of port currents. Reciprocity requires Z12=Z21; symmetry additionally requires Z11=Z22. Key relation: V1=Z11I1+Z12I2; V2=Z21I1+Z22I2. Exam focus:… - An RL circuit is excited by a DC step voltage. Then 1. Initial current through inductor is zero. 2. Final current depends only on resistance. 3. Time constant depends only on inductance.…
Deputy Executive Engineer (Electrical), Class-2, Sports Authority of Gujarat / Assistant Engineer (Electrical), Class-2, · 2026 · RL Step Response
In a first-order RL circuit driven by a DC step, inductor current cannot change instantaneously. The time constant depends on both inductance and resistance,… - A two-port network has defined Z-parameters. Then 1. Defined under open-circuit conditions. 2. Z11 represents input impedance. 3. Z12 represents transfer impedance. 4. Can be used in network interconnections. Which of the…
Deputy Executive Engineer (Electrical), Class-2, Sports Authority of Gujarat / Assistant Engineer (Electrical), Class-2, · 2026 · Impedance Parameters
For a linear two-port, terminal voltages are expressed in terms of terminal currents. Open-circuiting a port forces its current to zero and isolates the… - A circuit contains two independent voltage sources connected with resistors. Then 1. Superposition considers one independent source at a time. 2. Total current is sum of individual source contributions. 3. Power can…
Deputy Executive Engineer (Electrical), Class-2, Sports Authority of Gujarat / Assistant Engineer (Electrical), Class-2, · 2026 · Superposition of Independent Sources
Superposition is a linear-circuit method used to find voltages or currents caused by multiple independent sources. Analyze one independent source at a time, replace… - Consider the following statements regarding Resonance in RLC Circuit: 1. In series resonance, impedance becomes minimum and current becomes maximum. 2. At resonance, inductive reactance equals capacitive reactance. 3. Power factor at…
Deputy Executive Engineer (Electrical), Class-2, Sports Authority of Gujarat / Assistant Engineer (Electrical), Class-2, · 2026 · Series and Parallel Resonance
For a series RLC circuit, XL=XC at resonance, so the impedance is purely resistive and minimum, current is maximum, and power factor is unity.… - Consider the following statements regarding Second Order Circuits: 1. A second-order circuit contains two energy storage elements such as inductors and capacitors. 2. The transient response depends on damping factor which determines…
Deputy Executive Engineer (Electrical), Class-2, Sports Authority of Gujarat / Assistant Engineer (Electrical), Class-2, · 2026 · Damping in Second-Order Circuits
Second-order dynamics are governed by two independent energy-storage states and are described by natural frequency and damping ratio. An underdamped response oscillates with exponentially… - Consider the following statements regarding First Order Circuits (RC): 1. In an RC charging circuit, capacitor voltage increases exponentially and approaches supply voltage asymptotically. 2. Time constant of an RC circuit is…
Deputy Executive Engineer (Electrical), Class-2, Sports Authority of Gujarat / Assistant Engineer (Electrical), Class-2, · 2026 · RC Charging Response
A first-order RC charging circuit responds exponentially because the capacitor voltage cannot change instantaneously. The time constant τ=RC sets the speed; at t=τ the… - Consider the following statements regarding Maximum Power Transfer: 1. Maximum power transfer occurs when load resistance equals source resistance in DC circuits. 2. In AC circuits, maximum power transfer occurs when load…
Deputy Executive Engineer (Electrical), Class-2, Sports Authority of Gujarat / Assistant Engineer (Electrical), Class-2, · 2026 · Maximum Power Transfer Condition
In AC, ZL must equal the complex conjugate of source/Thevenin impedance. At the resistive maximum-power point, half of the source power is dissipated internally,…
Formula & key-relationship bank from verified solutions
V1=Z11I1+Z12I2; V2=Z21I1+Z22I2.i(t)=V/R·(1−e^(−t/τ)); τ=L/R.V1 = Z11 I1 + Z12 I2; V2 = Z21 I1 + Z22 I2. Z11=(V1/I1)|I2=0, Z12=(V1/I2)|I1=0.x = x₁ + x₂ + … for a linear response; P = V²/R = I²R is not a superposable quantity.ω₀=1/√(LC); f₀=1/(2π√LC); at resonance XL=XC.Characteristic form: s²+2ζω_n s+ω_n²=0.
Use these as revision triggers and open the linked PYQ before applying a formula numerically; variable definitions and assumptions belong to the exact solved question.
Core ideas repeatedly reinforced by the solved corpus
- Z-parameters express two-port terminal voltages as linear combinations of port currents. Reciprocity requires Z12=Z21; symmetry additionally requires Z11=Z22. Key relation: V1=Z11I1+Z12I2; V2=Z21I1+Z22I2. Exam focus: Reciprocal: Z12=Z21. Symmetric: Z11=Z22. Common trap: Do not confuse reciprocity with symmetry.
- In a first-order RL circuit driven by a DC step, inductor current cannot change instantaneously. The time constant depends on both inductance and resistance, so changing either alters the transient speed. Key relation: i(t)=V/R·(1−e^(−t/τ)); τ=L/R. Exam focus: Initial…
- For a linear two-port, terminal voltages are expressed in terms of terminal currents. Open-circuiting a port forces its current to zero and isolates the required coefficient. Key relation: V1 = Z11 I1 + Z12 I2; V2 = Z21…
- Superposition is a linear-circuit method used to find voltages or currents caused by multiple independent sources. Analyze one independent source at a time, replace other independent voltage sources by shorts and independent current sources by opens, and keep…
- For a series RLC circuit, XL=XC at resonance, so the impedance is purely resistive and minimum, current is maximum, and power factor is unity. In an ideal parallel resonant circuit the input impedance is high, not minimum. Key…
Exam tips already validated in SRO solutions
- Reciprocal: Z12=Z21. Symmetric: Z11=Z22.
- Initial inductor current is continuous; final DC inductor acts as a short circuit.
- Memorize the condition “Z → open circuit (I=0)” and “Y → short circuit (V=0)”.
- Deactivate only independent sources; never suppress a dependent source.
- Series resonance: Z minimum, I maximum. Parallel resonance: input Z maximum (ideal case).
Common mistakes to avoid
- Do not confuse reciprocity with symmetry.
- Do not write τ=L alone; resistance is part of the time constant.
- Do not label Z12=Z21 as symmetry; that equality is the reciprocity condition.
- Adding powers from separate source cases is a classic trap.
- Reactive voltages can be large even though net reactive voltage is zero.
Topic and concept coverage
Mapped topic labels includeNetwork Theorems, Transient Analysis, Two-Port Networks, RLC Circuits, AC Circuits, Graph Theory, Kirchhoff's Laws. The concept trail includesAverage Power in an Inductor, Branches, Nodes and Independent Loops, Charge Conservation at a Node, Current-Source to Voltage-Source Transformation, Damping in Second-Order Circuits, Equivalent Resistance and Terminal Voltage, Impedance Parameters, Maximum Power Transfer Condition. Use these labels as a revision map: move from the broad area to the narrow concept, solve a verified PYQ, inspect the detailed reasoning, and then attempt another question from the same cluster.
Knowledge Graph navigation
Continue withElectrical Engineering,AC Circuits,AC Circuits,AC Circuits,AC Circuits,AC Circuits,Network Theorems,Two-Port Networks,Z Parameters,Transient Analysis,Maximum Power Transfer. These are canonical SRO entity links based on the Knowledge Graph and shared question mappings, not keyword-stuffed tag pages.
How to revise this authority page efficiently
- Solve before reading:answer a mapped PYQ first.
- Read the exact explanation:verify the correct principle, formula, distractor logic and common mistake on that question page.
- Move one level in the graph:use the closest concept/sub-topic/topic link rather than opening unrelated content.
- Reattempt:solve another verified PYQ from this hub and check whether the same error repeats.
Quality scope:this page is automatically maintained from SRO’s verified mapped corpus. It enriches one canonical authority URL instead of generating multiple near-duplicate pages for keyword variants. Manual authority articles are never overwritten by the automated engine.