Kirchoff's 1st Law - Revision history

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‎Key Stage 5

NRJC: Created page with "==Key Stage 5== ===Meaning=== Kirchoff's 1st Law states that the total current entering a junction is equal to the total Electrical Current|cu..."

2024-05-23T09:00:14Z

Created page with "==Key Stage 5== ===Meaning=== Kirchoff's 1st Law states that the total current entering a junction is equal to the total Electrical Current|cu..."

New page

==Key Stage 5==
===Meaning===
[[Kirchoff's 1st Law]] states that the total [[Electrical Current|current]] entering a [[junction]] is equal to the total [[Electrical Current|current]] leaving the [[junction]].

===About Kirchhoff's First Law===
*Also known as the '''[[Electrical Current|current]] law''' or '''[[junction]] rule'''.
*[[Kirchoff's 1st Law]] is based on the [[Conservation of Charge|conservation of charge]].
*[[Kirchoff's 1st Law]] is essential for analyzing complex electrical circuits.
*In [[Kirchoff's 1st Law]] the algebraic sum of [[Electrical Current|currents]] at a [[junction]] is equal to zero.
*[[Kirchoff's 1st Law]] helps in solving circuit problems by setting up equations based on [[Electrical Current|current]] conservation.
*[[Kirchoff's 1st Law]] is used in network analysis techniques such as mesh analysis and nodal analysis.
*[[Kirchoff's 1st Law]] applies to both [[Direct Current|DC]] and [[Alternating Current|AC]] circuits.
===Examples===
*In a [[Parallel Circuit|parallel circuit]], the sum of currents through each branch equals the total [[Electrical Current|current]] entering the [[junction]].
*Used to determine unknown currents in electrical network problems.

@@ Line 22: / Line 22: @@
 *<math>\sum I_n</math> represents the sum of all [[Electrical Current|currents]] at [[junction]],
-*<math>I_1 + I_2 + I_3 +...</math> represents the [[Electrical Current|current]] in each individual [[wire]] attached to the [[junction]],
+*<math>I_1 + I_2 + I_3 +...</math> represents the individual [[Electrical Current|currents]] in each [[wire]] attached to the [[junction]],
 *<math>\sum I_{in}</math> represents the sum of all [[Electrical Current|currents]] going into a [[junction]],

@@ Line 14: / Line 14: @@
 ===Formula===
-<math>\sum I_n=I_1 + I_2 + I_3 +...=0</math>
+*<math>\sum I_n=I_1 + I_2 + I_3 +...=0</math>
-<math>\sum I_{in}=\sum I_{out}</math>
+*<math>\sum I_{in}=\sum I_{out}</math>
 Where:
-<math>\sum I_n</math> represents the sum of all [[Electrical Current|currents]] at [[junction]],
+*<math>\sum I_n</math> represents the sum of all [[Electrical Current|currents]] at [[junction]],
-<math>I_1 + I_2 + I_3 +...</math> represents the [[Electrical Current|current]] in each individual [[wire]] attached to the [[junction]],
+*<math>I_1 + I_2 + I_3 +...</math> represents the [[Electrical Current|current]] in each individual [[wire]] attached to the [[junction]],
-<math>\sum I_{in}</math> represents the sum of all [[Electrical Current|currents]] going into a [[junction]],
+*<math>\sum I_{in}</math> represents the sum of all [[Electrical Current|currents]] going into a [[junction]],
-<math>\sum I_{out}</math> represents the sum of all [[Electrical Current|currents]] leaving a [[junction]]
+*<math>\sum I_{out}</math> represents the sum of all [[Electrical Current|currents]] leaving a [[junction]]
 ===Examples===
 *In a [[Parallel Circuit|parallel circuit]], the sum of currents through each branch equals the total [[Electrical Current|current]] entering the [[junction]].
 *Used to determine unknown currents in electrical network problems.

@@ Line 14: / Line 14: @@
 ===Formula===
-<math>\sum I_n=0</math>
+<math>\sum I_n=I_1 + I_2 + I_3 +...=0</math>
 ===Examples===
 *In a [[Parallel Circuit|parallel circuit]], the sum of currents through each branch equals the total [[Electrical Current|current]] entering the [[junction]].
 *Used to determine unknown currents in electrical network problems.

@@ Line 14: / Line 14: @@
 ===Formula===
-<math>\sum I_i=0</math>
+<math>\sum I_n=0</math>
 ===Examples===
 *In a [[Parallel Circuit|parallel circuit]], the sum of currents through each branch equals the total [[Electrical Current|current]] entering the [[junction]].
 *Used to determine unknown currents in electrical network problems.

@@ Line 14: / Line 14: @@
 ===Formula===
-<math>\sum_{i=1}^n I_i=0</math>
+<math>\sum I_i=0</math>
 ===Examples===
 *In a [[Parallel Circuit|parallel circuit]], the sum of currents through each branch equals the total [[Electrical Current|current]] entering the [[junction]].
 *Used to determine unknown currents in electrical network problems.