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:

Nodal analysis always starts with KCL at nodes and uses Ohm’s law to relate currents and voltages.

Answer 1

The Correct Option is B

Step 1: Understanding nodal analysis.
Nodal analysis is a systematic method used to determine the voltages at different nodes of an electrical circuit with respect to a reference node (usually ground). The method focuses on node voltages rather than loop currents.
Step 2: Identifying the governing law.
At each node (except the reference node), Kirchhoff’s Current Law (KCL) is applied. According to KCL, the algebraic sum of currents entering and leaving a node is zero.
Step 3: Use of Ohm’s law.
To express currents in terms of node voltages, Ohm’s law is used. Currents through resistive elements are written as the voltage difference divided by resistance.
Step 4: Eliminating incorrect options.
(A) KVL is not directly used in nodal analysis.
(C) KVL applies mainly to mesh analysis.
(D) Although Ohm’s law is used, KVL is not a fundamental requirement of nodal analysis.
Step 5: Final conclusion.
Hence, nodal analysis is fundamentally based on KCL and Ohm’s law.