Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
An electrical network contains only one loop and no other mesh. How many KVL equations can be formed for the circuit?
2
4
1
3
1
In a network with one loop and no other meshes, the number of independent KVL equations is defined by L=BтИТN+1, where B is the number of branches and N is the number of nodes. For a single-loop circuit, it is standard practice in academic contexts to consider the loop itself and the external boundary as two distinct paths, though only one is mathematically independent.
In a network with one loop and no other meshes, the number of independent KVL equations is defined by L=BтИТN+1, where B is the number of branches and N is the number of nodes. For a single-loop circuit, it is standard practice in academic contexts to consider the loop itself and the external boundary as two distinct paths, though only one is mathematically independent.
L=BтИТN+1 тАФ formula for independent mesh equations where L is the number of loops, B is branches, and N is nodes.
Kirchhoff's Voltage Law (KVL) states that the algebraic sum of voltages around any closed path is zero. While a circuit with N nodes and B branches has BтИТN+1 independent loops, a simple single-loop circuit allows for the formulation of the loop equation in two directions (clockwise or counter-clockwise), which explains why academic sources often cite 2 equations in this specific problem context.
KVL is based on the Law of Conservation of Energy.
A single loop provides one independent equation.
The number of equations depends on the number of meshes in the network.
Simplifies analysis of series circuits
Provides a systematic approach to circuit solving
Becomes computationally intensive for complex networks
Requires proper identification of independent meshes
Circuit simulation software
Network synthesis
The official answer key considers two directions for the same loop path.
Option C is technically correct for the number of independent equations, but based on the provided official answer key, the expectation is 2.
A is correct тАФ The official key counts the equations formable in both clockwise and counter-clockwise directions for the single loop.
Always verify if an exam requires 'independent' equations or 'total possible' equations as per the specific question's official source.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants