Ohm's Law: At constant temperature, the current in a circuit is directly proportional to the applied voltage and inversely proportional to the circuit resistance.
Kirchhoff's Current Law (KCL): The algebric sum of all the currents at any node at any instant is zero.
Kirchhoff's Voltage Law (KVL): The algebric sum of all the voltages around any closed path is zero.
Voltage Divider Rule (VDR): The voltage across a resistor in a series circuit is a fraction of the total voltage, proportional to the proportion of its resistance to the total resistance in the circuit.
Current Divider Rule (VDR): The current through a resistor in a parallel circuit is a fraction of the total current, proportional to the proportion of its conductance to the total conductance in the circuit.
Mesh/Loop Curent Analysis: A mesh is an independent loop into which there is no loop.
Network Theorem: The calculation of currents and voltages in multi-loop electric circuits can be quit complicated. The KVL and KCL is always applicable but the use of KVL and KCL may lead to long systems equations.
Network theorems help in simplification of a complex circuit and easily let us calculate the current/voltage through a component of interest. The use of network theorems make circuit analysis simpler.
Thevnin's Theorem: Thevnin's Theorem states that any linear circuit containing several sources and resistances can be replaced by just one single voltage source in series with a single resistance connected accross the load.
Norton's Theorem: Norton's Theorem states that any linear circuit containing several sources and resistances can be replaced by just one single current source in series with a single resistance connected accross the load.
Superposition Theorem: Superposition Theorem states that in a linear circuit with several sources, the current and voltage for any element in the circuit is the sum of the currents and voltages produced by each source acting independently.
Maximum Power Transfer Theorem: The Maximum Power Transfer Theorem states that to obtain maximum power from a source with a finite internal resistance, the resistance of the load must be equal to the Thevnin's equivalent resistance of the circuit as viewed from the output terminals.
Source Transformation Theorem: The Source Transformation Theorem states that if we have a voltage source in series with resistance, we can convert that to a current source which is in parallel with that resistance and vice-versa.
