Electric Circuits I Lecture 4 PDF

Electric Circuits I Lecture 4 Example: Use the node-voltage method to find the branch currents ia through ie in the circuit shown below. Example: Use the node-voltage method to find the branch currents i1 through i3 in the circuit shown below.  The super node when a...

Electric Circuits I Lecture 4 Example: Use the node-voltage method to find the branch currents ia through ie in the circuit shown below. Example: Use the node-voltage method to find the branch currents i1 through i3 in the circuit shown below.  The super node when a voltage source is connected between two non-reference nodes. Problem: The current through the voltage source cannot be written as function of its two terminal voltages! Solution: Form a supernode which is formed by enclosing the voltage source and any elements in parallel with it in a closed boundary. Since there are two nodes (two terminals of the voltage source) are enclosed in the supernode, two equations are needed for each supernode: – KCL at supernode gives one equation( Write the standard node equations for the supernode) v1 v 2 2  7 0 2 4 – The other equation is the relationship between the voltages of the two nodes enclosed in the supernode v2  v1  2 Example: Use the node-voltage method to find v and i in the circuit shown below.