Question

The nodal method of circuit analysis is based on

• A. KVL and Ohm's law
• B. KCL and Ohm's law
• C. KCL and KVL
• D. KCL, KVL and Ohm's law

Hint:

Remember the pairing of analysis methods and laws: \textbf{Nodal Analysis} \(\rightarrow\) \textbf{KCL} (and Ohm's Law). \textbf{Mesh Analysis} \(\rightarrow\) \textbf{KVL} (and Ohm's Law).

Answer 1

The Correct Option is B

Step 1: Define Nodal Analysis.Nodal analysis is a circuit analysis method that calculates node voltages relative to a reference node.
Step 2: Identify the foundational laws used.The core principle is Kirchhoff's Current Law (KCL), which states that the sum of currents into a node is zero. KCL forms the basis for equations at each unknown node.
Step 3: Identify the law used to express the currents.Unknown currents between nodes are expressed using Ohm's Law and node voltages. For a resistor R between nodes A and B with voltages \(V_A\) and \(V_B\), the current is \(I = (V_A - V_B) / R\).
Step 4: Conclude the basis of the method.Nodal analysis relies on KCL for equation formulation and Ohm's Law to define current terms. Mesh Analysis, conversely, is based on Kirchhoff's Voltage Law (KVL).