The current i in Fig. 14.23 is (A) (1)/(5) A (B) (1)/(10) A (C) (1)/(15) A (D) (1)/(45) A

Name: Problem 44, Chapter 14: A Complete Resource Book in Physics for JEE Main
Uploaded: 2021-09-26T01:01:46-08:00
Duration: 1 min 47 s
Channel: Mahipal Kumawat
Description: The current i in Fig. 14.23 is (A) (1)/(5) A (B) (1)/(10) A (C) (1)/(15) A (D) (1)/(45) A

step 1 we are given a circuit diagram let's first draw the circuit diagram this three resistance are co

The current i in Fig. 14.23 is (A) (1)/(5) A (B) (1)/(10)...

Key Concepts

Kirchhoff’s Laws

Kirchhoff’s voltage law (KVL) and Kirchhoff’s current law (KCL) are fundamental to circuit analysis. KVL states that the algebraic sum of all voltages in any closed loop in a circuit is zero, while KCL states that the total current entering a junction equals the total current leaving it. These laws form the basis for writing the equations necessary to determine unknown currents, voltages, and resistances in electrical circuits.

Ohm’s Law

Ohm’s law explains the relationship between voltage, current, and resistance in an electrical circuit. It states that the current flowing through a conductor is directly proportional to the voltage across it and inversely proportional to its resistance. This principle is essential for calculating the current through circuit elements when the voltage and resistance are known.

Mesh and Node Analysis

Mesh and node analysis are systematic techniques used to solve complex electrical circuits. Mesh analysis applies KVL around loops (meshes) to set up equations for unknown loop currents, while node analysis uses KCL at circuit nodes to determine unknown voltages. Both methods facilitate the detailed and systematic determination of current distribution and voltage levels in a circuit.

Current Division Principle

The current division principle is used to determine how total current splits among parallel circuit branches. This principle states that the current through a particular branch in a parallel circuit is inversely proportional to its resistance relative to the other branches. It is a critical concept for solving problems where determining the distribution of current among multiple resistive paths is required.

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