Use nodal analysis to solve the circuit shown below and determine the power of node .
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I. Identify all nodes in the circuit.
The circuit has five nodes as shown below.
Use nodal analysis to solve the circuit shown below and determine the power of node .
I. Identify all nodes in the circuit.
The circuit has five nodes as shown below.
We go through solving a circuit which only containes independent sources: two voltage sources and two current sources. KVL and KCL are used to determine voltages and currents.
Determine the amount of power absorbed or supplied by each source.
Find using superposition rule:
The superposition theorem states that the response (voltage or current) in any branch of a linear circuit which has more than one independent source equals the algebraic sum of the responses caused by each independent source acting alone, while all other independent sources are turned off (made zero).
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Find the voltage across the current source and the current passing through the voltage source.
Assume that ,
,
,
,
,
,
Solution
is in series with the current source; therefore, the same current passing through it as the current source:
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Determine the power of and
. (Hint: there is no need to use nodal analysis; voltages between nodes can be easily found by the voltage sources.)
Solution
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Solve the circuit using nodal analysis and determine the power of .
Solution
I. Identify all nodes in the circuit. The circuit contains 3 nodes, as illustrated below.
Let’s use nodal analysis to solve this circuit and determine .
Solution
I. Identify all nodes in the circuit. There are four nodes in the circuit, as indicated below