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 technique used to determine the voltage at each node (a point where two or more circuit elements connect) relative to a reference node.
Step 2: Identify the foundational laws used. The primary principle of nodal analysis is Kirchhoff's Current Law (KCL). KCL states that the algebraic sum of currents entering a node must be zero. An equation based on KCL is written for each unknown node voltage.
Step 3: Identify the law used to express the currents. The currents flowing between nodes are typically unknown. To express these currents in terms of the node voltages (which are the variables we want to solve for), we use Ohm's Law. 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. Since the nodal equations are formulated using KCL, and the terms within those equations are derived using Ohm's Law, the nodal method is based on KCL and Ohm's law. Kirchhoff's Voltage Law (KVL) is the foundation for the alternative method, Mesh Analysis.