Mathematical methods in electronics
Mathematical methods are integral to the study of electronics. To become proficient in electronics it is also necessary to become proficient in mathematics.
Basic applications
A number of electrical laws apply to all electrical networks. These include
- Kirchhoff's current law: the sum of all currents entering a node is equal to the sum of all currents leaving the node.
- Kirchhoff's voltage law: the directed sum of the electrical potential differences around a circuit must be zero.
- Ohm's law: the voltage across a resistor is the product of its resistance and the current flowing through it.
- the Y-delta transform
- Norton's theorem: any two-terminal collection of voltage sources and resistors is electrically equivalent to an ideal current source in parallel with a single resistor.
- Thevenin's theorem: any two-terminal combination of voltage sources and resistors is electrically equivalent to a single voltage source in series with a single resistor.
- Millman's method: the voltage on the ends of branches in parallel is equal to the sum of the currents flowing in every branch divided by the total equivalent conductance.
- See also Analysis of resistive circuits.
Circuit analysis is the study of methods to solve linear systems for an unknown variable.
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Components
There are many electronic components currently used and they all have their own uses and particular rules and methods for use.