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№1 слайд![Kirchhoff s Laws for circuits](/documents_6/937bbd25a63dddf4b9f60205f46b56f2/img0.jpg)
Содержание слайда: Kirchhoff’s Laws for circuits
№2 слайд![Robert Gustav Kirchhoff -](/documents_6/937bbd25a63dddf4b9f60205f46b56f2/img1.jpg)
Содержание слайда: Robert Gustav Kirchhoff (1824-1887)
№3 слайд![Importance in complex](/documents_6/937bbd25a63dddf4b9f60205f46b56f2/img2.jpg)
Содержание слайда: Importance in complex circuits
Kirchhoff’s laws provides a means of obtaining enough independent equations to solve for the flowing in an electrical circuits
His circuit laws stands for two equalities that deal with the current and potential difference in the lumped element model of electrical circuits
№4 слайд![Kirchhoff s Circuit Law We](/documents_6/937bbd25a63dddf4b9f60205f46b56f2/img3.jpg)
Содержание слайда: Kirchhoff's Circuit Law
We saw in the Resistors tutorial that a single equivalent resistance, ( RT ) can be found when two or more resistors are connected together in either series, parallel or combinations of both, and that these circuits obey Ohm’s Law
However, sometimes in complex circuits such as bridge or T networks, we can not simply use Ohm’s Law alone to find the voltages or currents circulating within the circuit. For these types of calculations we need certain rules which allow us to obtain the circuit equations and for this we can use Kirchhoff's Circuit Law
№5 слайд![Kirchhoff s First Law The](/documents_6/937bbd25a63dddf4b9f60205f46b56f2/img4.jpg)
Содержание слайда: Kirchhoff's First Law – The Current Law, (KCL)
Kirchhoff's Current Law or KCL, states that the “total current or charge entering a junction or node is exactly equal to the charge leaving the node as it has no other place to go except to leave, as no charge is lost within the node“. In other words the algebraic sum of ALL the currents entering and leaving a node must be equal to zero, I(exiting) + I(entering) = 0. This idea by Kirchhoff is commonly known as the Conservation of Charge.
№6 слайд![Kirchhoff s Current Law](/documents_6/937bbd25a63dddf4b9f60205f46b56f2/img5.jpg)
Содержание слайда: Kirchhoff's Current Law
№7 слайд![Kirchhoff s Second Law The](/documents_6/937bbd25a63dddf4b9f60205f46b56f2/img6.jpg)
Содержание слайда: Kirchhoff's Second Law – The Voltage Law, (KVL)
Kirchhoff's Voltage Law or KVL, states that “in any closed loop network, the total voltage around the loop is equal to the sum of all the voltage drops within the same loop” which is also equal to zero. In other words the algebraic sum of all voltages within the loop must be equal to zero. This idea by Kirchhoff is known as the Conservation of Energy.
№8 слайд![Common DC Circuit Theory](/documents_6/937bbd25a63dddf4b9f60205f46b56f2/img7.jpg)
Содержание слайда: Common DC Circuit Theory Terms:
• Circuit – a circuit is a closed loop conducting path in which an electrical current flows.
• Path – a single line of connecting elements or sources.
• Node – a node is a junction, connection or terminal within a circuit were two or more circuit elements are connected or joined together giving a connection point between two or more branches. A node is indicated by a dot.
• Branch – a branch is a single or group of components such as resistors or a source which are connected between two nodes.
• Loop – a loop is a simple closed path in a circuit in which no circuit element or node is encountered more than once.
№9 слайд![Application of Kirchhoff s](/documents_6/937bbd25a63dddf4b9f60205f46b56f2/img8.jpg)
Содержание слайда: Application of Kirchhoff's Circuit Laws
These two laws enable the Currents and Voltages in a circuit to be found, if, the circuit is said to be “Analyzed”, and the basic procedure for using Kirchhoff's Circuit Laws is as follows:
1. Assume all voltages and resistances are given. ( If not label them V1, V2,… R1, R2, etc. )
2. Label each branch with a branch current. ( I1, I2, I3 etc. )
3. Find Kirchhoff's first law equations for each node. (KCL)
4. Find Kirchhoff's second law equations for each of the independent loops of the circuit. (KVL)
5. Use Linear simultaneous equations as required to find the unknown currents.
№10 слайд![Conclusion By knowing and](/documents_6/937bbd25a63dddf4b9f60205f46b56f2/img9.jpg)
Содержание слайда: Conclusion
By knowing and using Kirchhoff’s Laws we can simplify our calculations and reduce more amount of mathematics in solving for circuits.