Back to School – Let’s Calculate Current I3 _ EEP
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Transcript of Back to School – Let’s Calculate Current I3 _ EEP
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Back To School – Let’s Calculate Current I3Back To School – Let’s Calculate Current I3
Techniques for solving DC circuitsTechniques for solving DC circuits
Referring to the following circuit, calculate Referring to the following circuit, calculate direct current Idirect current I33::
Using Kirchhoff’s laws;Using Kirchhoff’s laws;1.
Using nodal analysis;Using nodal analysis;2.
Applying Applying Thévenin’s theoremThévenin’s theorem at nodes at nodes AA and and BB..3.
Ok, let’s dive into calculation…Ok, let’s dive into calculation…
For start, let’s try to remember two Kirchhoff’s Laws //For start, let’s try to remember two Kirchhoff’s Laws //
Kirchhoff’s Current Law –Kirchhoff’s Current Law – The algebraic sum of currents at a node is zero. The algebraic sum of currents at a node is zero.
Kirchhoff’s Voltage Law –Kirchhoff’s Voltage Law – The algebraic sum of voltages around a closed The algebraic sum of voltages around a closed
circuit loop is zero.circuit loop is zero.
– KCL– KCL stands for Kirchhoff’s Current Law stands for Kirchhoff’s Current Law
– KVL– KVL stands for Kirchhoff’s Voltage Law stands for Kirchhoff’s Voltage Law
The following equation can be written:The following equation can be written:
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Substituting values, we obtain:Substituting values, we obtain:
Finally,Finally,
Thévenin’s voltage Thévenin’s voltage UUThTh at nodes A and B at nodes A and B
can be easily calculated by disconnectingcan be easily calculated by disconnecting
the right part of the circuit:the right part of the circuit:
Thévenin’s equivalentThévenin’s equivalent
resistance resistance RRThTh is the is the
resistance resistance “seen” from“seen” from
nodes A and Bnodes A and B, when all generators are, when all generators are
deactivated (in our case, deactivated (in our case, only Eonly E11 is present is present):):
The left side of the circuit can now beThe left side of the circuit can now be
substituted by substituted by its Thévenin equivalentits Thévenin equivalent, in, in
order to calculate order to calculate current Icurrent I33::
This single-mesh circuit can be easily solvedThis single-mesh circuit can be easily solved
using KVL (Kirchhoff’s voltage law):using KVL (Kirchhoff’s voltage law):
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Readers should note that Readers should note that UUAB0AB0 ≠ U ≠ UABAB::
UUABAB = U = UThTh – R – RThTh · I · I33 = 8.333 – 4.166 · 0.041 = = 8.333 – 4.166 · 0.041 = 8.1638.163
Comparing the three methods, Comparing the three methods, we can conclude that Thévenin’s theorem is verywe can conclude that Thévenin’s theorem is very
powerfulpowerful, in particular when a single current value is needed., in particular when a single current value is needed.
Another Kirchhoff’s Laws Worked Example (VIDEO)Another Kirchhoff’s Laws Worked Example (VIDEO)
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Cant see this video? Click Cant see this video? Click herehere to watch it on Youtube. to watch it on Youtube.
Thevenin’s Theorem. Example with solution (VIDEO)Thevenin’s Theorem. Example with solution (VIDEO)
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Share with engineers //Share with engineers //
Cant see this video? Click Cant see this video? Click herehere to watch it on Youtube. to watch it on Youtube.
Reference //Reference // Fundamentals of electric power engineering – Ceraolo, Massimo, Davide Fundamentals of electric power engineering – Ceraolo, Massimo, Davide
Poli.Poli.
Recommended EE articles //Recommended EE articles //
About Author //About Author //
Edvard CsanyiEdvard Csanyi
EdvardEdvard - - Electrical engineer, programmer and founder of Electrical engineer, programmer and founder of EEPEEP..
Highly specialized for design of LV high power busbar trunkingHighly specialized for design of LV high power busbar trunking
(<6300A) in power substations, buildings and industry fascilities.(<6300A) in power substations, buildings and industry fascilities.
Designing of LV/MV switchgears.Professional in AutoCADDesigning of LV/MV switchgears.Professional in AutoCAD
programming and web-design.Present on programming and web-design.Present on Google+Google+
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