Formula Sheet: Network Basics

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Design Against Static Load 
 
1 
BASIC CONCEPTS 
OF NETWORKS 
1.1 Introduction 
Network theory is the study of solving the problems of electric circuits or electric networks.  
An electric circuit contains a closed path for providing a flow of electrons from a voltage source or current source. 
The elements present in an electric circuit will be in series connection, parallel connection, or in any combination 
of series and parallel connections and an electric network need not contain a closed path for providing a flow of 
electrons from a voltage source or current source. Hence, we can conclude that “all electric circuits are electric 
networks” but the converse need not be true. 
1.1.1. Types of Network Elements 
Different types of network elements are 
1. Linear Elements and Non-linear Elements.  
2. Bilateral Elements and Unilateral Elements. 
3. Active Elements and Passive Elements. 
4. Time Invariant and Time Variant Elements.  
5. Lumped and Distributed Elements.  
1.  Linear Elements  
  Characteristics of linear elements always passes through the origin in the form of straight line. 
 
  Linear 
Example of linear elements: 
 
All basic electrical elements are linear (R, L, C). 
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FAQs on Formula Sheet: Network Basics

1. What are the main formulas I need to know for network analysis in electric circuits?
Ans. Essential network theory formulas include Ohm's Law (V = IR), Kirchhoff's Voltage Law (KVL), Kirchhoff's Current Law (KCL), power equations (P = VI), and resistance combinations. These form the foundation for circuit analysis. Students should also memorise series-parallel resistance calculations, voltage divider, and current divider formulas. Refer to mind maps and flashcards on EduRev for quick formula memorisation during revision.
2. How do I calculate equivalent resistance when resistors are connected in series and parallel?
Ans. For series connections, add resistances directly: R_eq = R₁ + R₂ + R₃. For parallel circuits, use reciprocals: 1/R_eq = 1/R₁ + 1/R₂ + 1/R₃. Mixed networks require identifying series and parallel sections separately, then combining step-by-step. Understanding this distinction is critical for simplifying complex networks before applying KVL or KCL analysis.
3. What's the difference between Kirchhoff's Voltage Law and Kirchhoff's Current Law in circuit problems?
Ans. KVL states that the sum of voltages around any closed loop equals zero, useful for mesh analysis. KCL states that current entering a node equals current leaving it, applied at junctions. KVL works with voltage sources and resistances in loops; KCL works with current distribution at nodes. Both are fundamental to network theory and essential for solving multi-loop circuits.
4. Why do I get confused with voltage divider and current divider formulas?
Ans. The voltage divider applies to series circuits: V_out = V_in × (R₂/R₁+R₂). Current divider applies to parallel branches: I = I_total × (R_opposite/R_total). A common mistake is reversing which resistance goes in the numerator. Remember: voltage divider uses the load resistance; current divider uses the opposite branch resistance. Practice with MCQ tests to reinforce these distinctions.
5. What formulas do I need for calculating power and energy in electric circuits?
Ans. Power formulas are P = VI, P = I²R, and P = V²/R depending on known quantities. Energy consumption is W = Pt (in joules). Apparent power (S = VI in VA), reactive power (Q in VAR), and power factor relationships are crucial for AC circuits. These formulas directly impact exam questions on circuit efficiency and energy calculations in network basics.
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