Question:
If there are 10 nodes in a circuit, how many equations do we get?
If there are 10 nodes in a circuit, how many equations do we get?
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Nodal Analysis Equations. For a circuit with N nodes, nodal analysis yields (N-1) independent KCL equations (one node is chosen as reference).
Updated On: May 6, 2025
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The Correct Option is B
Solution and Explanation
This question likely refers to the number of independent equations obtained using Nodal Analysis
In nodal analysis, we apply Kirchhoff's Current Law (KCL) to the nodes of a circuit to determine the node voltages
If a circuit has 'N' nodes in total, one node is typically chosen as the reference node (ground, potential = 0 V)
KCL equations are then written for the remaining (N-1) non-reference nodes
These (N-1) equations form a set of independent equations that can be solved for the unknown node voltages
Given N = 10 nodes, the number of independent nodal equations is N - 1 = 10 - 1 = 9
In nodal analysis, we apply Kirchhoff's Current Law (KCL) to the nodes of a circuit to determine the node voltages
If a circuit has 'N' nodes in total, one node is typically chosen as the reference node (ground, potential = 0 V)
KCL equations are then written for the remaining (N-1) non-reference nodes
These (N-1) equations form a set of independent equations that can be solved for the unknown node voltages
Given N = 10 nodes, the number of independent nodal equations is N - 1 = 10 - 1 = 9
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