sufficient, powerful set of tools for analysing a large variety of electric circuits • These laws are formally known as Kirchhoff’s current law (KCL) and Kirchhoff’s voltage law (KVL)
Kirchhoff’s Laws - Kirchhoff’s first law is based on the law of conservation of charge - Meaning, the algebraic sum of charges within a system cannot change - Kirchhoff’s Current Law (KCL) states that the algebraic sum of currents entering a node (or a closed boundary) is zero
Kirchhoff’s Laws Where is the number of branches connected to the node and is the nth current entering (or leaving) the node
Kirchhoff’s Laws - Kirchhoff’s second law is based on the principle of conservation of energy - Kirchhoff’s Voltage Law (KVL) states that the algebraic sum of all voltages around a closed path (or loop) is zero
Kirchhoff’s Laws Expressed mathematically, KVL states that Wherein is the number of branches (or voltages) in the loop and is the nth voltage
Kirchhoff’s Laws - KVL can be applied in both clockwise and counter clockwise direction. Either way, the sum of the voltages around the loop is equivalent to zero - For non-source elements, voltage polarities should be assigned (if not stated by the problem!) - KVL can also be reinterpreted as
Kirchhoff’s Laws - When voltage sources are connected in series, KVL can be applied to obtain the total voltage
Example 6 For the circuit shown, find the voltages and
Example 7 For the circuit shown, find the voltages and
Example 8 For the circuit shown, find the voltages and
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- Spring '20
- Thévenin's theorem, Voltage source, Current Source, Kirchhoff