What is the basic law that has to be followed in order to analyze the circuit?

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Examoogle · Accepted Answer

Kirchhoff’s law

Explanation: Kirchhoff’s laws are the fundamental principles used to analyze the electrical behavior of circuits. They consist of Kirchhoff’s Current Law (KCL) and Kirchhoff’s Voltage Law (KVL), which satisfy the conservation of charge and energy, respectively.

Working Principle: KCL is based on the law of conservation of charge, stating that the algebraic sum of currents entering a node is zero. KVL is based on the law of conservation of energy, stating that the algebraic sum of voltages around any closed loop in a circuit is zero. Together, these allow for the calculation of unknown voltages and currents in complex networks.

Key Formulas: $\sum_{k=1}^{n} I_k = 0$ — Kirchhoff's Current Law (KCL); $\sum_{k=1}^{n} V_k = 0$ — Kirchhoff's Voltage Law (KVL)

Key Points: KCL applies to any closed surface or node.; KVL applies to any closed path (loop) in a planar or non-planar circuit.; These laws form the basis for Nodal and Mesh analysis techniques.; Applicable to circuits with lumped parameters.

Advantages: Simplifies analysis of complex networks.; Universally applicable to any linear or non-linear resistive circuit.

Disadvantages: Requires solving large systems of linear equations for massive circuits.; Does not account for distributed parameters at very high frequencies.

Applications: Mesh and Nodal Analysis; Circuit simulation software (e.g., SPICE); Electrical power system stability studies

Additional Info: Newton’s laws describe motion in mechanics.. Faraday’s laws relate to electromagnetic induction.. Ampere’s law relates magnetic fields to electric current.

Answer: D is correct — Kirchhoff’s laws provide the necessary equations to solve for unknowns in any electric circuit based on the conservation of charge and energy.

Exam Tip: Always remember that KCL represents the node principle and KVL represents the loop principle; using them systematically is the key to solving any DC circuit problem.

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