MindMap Gallery Circuit Models and Circuit Laws
This is a mind map about circuit models and circuit laws. The main contents include: 1.8 Kirchhoff's Law, 1.7 Controlled power supply (non-independent source), 1.6 Voltage source and current source, 1.4 Circuit components, 1.3 Electric power and Energy, 1.2 Reference directions of current and voltage, 1.1 Circuits and circuit models, 1.5 Resistive elements.
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This is a mind map about plant asexual reproduction, and its main contents include: concept, spore reproduction, vegetative reproduction, tissue culture, and buds. The summary is comprehensive and meticulous, suitable as review materials.
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Circuit Models and Circuit Laws
1.5 Resistive element
Linear resistive element → When the voltage and current take the relevant reference direction, the voltage and current at both ends obey Ohm's law at any time The u~i relationship → satisfies Ohm’s law Unit→R is resistance, G is conductance
Resistor open circuit and short circuit ·Open circuit: the current is not 0 and the voltage is 0 → the resistance is infinite and the conductance is 0 ·Short circuit: The current is 0 and the voltage is not 0 → the resistance is 0 and the conductance is infinite 0
Power and energy: p>0, the resistor power is always a non-negative number, the resistor element always consumes power at any time, and is a passive element (an element that never provides energy to the external circuit)
1.6 Voltage source and current source
Properties of an ideal voltage source: a. The terminal voltage is determined by the power supply itself and has nothing to do with the external circuit. b. The current passing through it is arbitrary and determined by the external circuit.
Properties of an ideal current source: a. The power supply current of the current source is determined by the power supply itself and has nothing to do with the external circuit. b. The voltage across the current source is arbitrary and determined by the external circuit.
1.7 Controlled power supply (non-independent source)
Definition → A model abstracted from electronic components is a dual-port component. One port is a control branch (open circuit or short circuit), and the other port is a controlled branch (having the properties of a voltage source or current source), and its voltage or current is controlled by the control branch voltage (or current).
Classification: According to whether the control quantity is voltage or current, there are 4 types of controlled sources 1. Current Controlled Current Source (CCCS) 2. Current controlled voltage source (CCVS) 3. Voltage controlled voltage source (VCVS) 4. Voltage controlled current source (VCVS)
Comparison of controlled and independent sources: ●The independent source voltage (or current) is determined by the power supply itself and has nothing to do with other voltages and circuits in the circuit, while the controlled source voltage (or current) is determined by the control quantity. ●The independent source plays the role of "excitation" in the circuit and generates voltage and current in the circuit. The controlled source reflects the control relationship between the voltage or current in one place in the circuit and the voltage or current in another place. It cannot be used in the circuit. as "incentive".
1.8 Kirchhoff’s Law
Including Kirchhoff's current law (KCL) and Kirchhoff's voltage law (KVL)
noun 1. Branch → A branch in a circuit that passes the same current. 2. Node → The connection point of three or more branches is called a node. 3. Path → a path between two nodes, consisting of branches. 4. Loop → a closed path composed of branches. 5. Mesh → For planar circuits, the loop that does not contain any branches inside is called a mesh. (A mesh is a loop but a loop is not necessarily a mesh)
Kirchhoff's current law (KCL) At any node in the lumped parameter circuit, at any time, the algebraic sum of the branch currents connected to that point is 0. (This shows that KCL can be generalized to any closed surface surrounding multiple nodes in the circuit)
clear
KCL is the reflection of the principle of charge conservation and current continuity at any node in the circuit;
KCL is a constraint on the branch current at the node. It has nothing to do with what components are connected to the branch, and has nothing to do with whether the circuit is linear or nonlinear;
The KCL equation is written according to the reference direction of the current and has nothing to do with the actual direction of the current.
Kirchhoff's Voltage Law (KVL) In a lumped parameter circuit, at any time, along any loop, the algebraic sum of all branch voltages is always equal to zero. a. Calibrate the voltage reference direction of each component; b. Select the loop detour direction, clockwise or counterclockwise
1.1 Circuits and circuit models
Actual circuit → designed to accomplish an intended purpose, Installation, operation, interaction between circuit components and circuit devices connected current path device
Function
a.Transmission, distribution and conversion of energy; Grid systems (generation, transmission and distribution of electrical energy)
b.Transmission, control and processing of information
composition
Power supply: A generator (excitation or excitation source) of electrical energy or electrical signals.
middle term
Load: electrical equipment
Circuit model (circuit)
Circuit model → replace the actual circuit with ideal circuit components Circuits composed of components and devices.
Ideal circuit components → have certain definite electromagnetic properties and have precise The basic mechanism of mathematical definition is a mathematical model
Modeling → Simulate with ideal circuit components or their combinations Model the actual device
1.2 Reference directions of current and voltage
1. Reference direction of current
Electric current → regular directional movement of charged particles
Main physical quantities in circuits
Voltage
Voltage
charge
magnetic flux
Current intensity → the amount of charge passing through the cross-section of the conductor per unit time
Unit →A (ampere), kA, mA, μA
Direction → There are only two possibilities for the actual direction of current flow in a component (wire)
from positive pole to negative pole
from negative pole to positive pole
Reference direction → arbitrariness
The reference direction is the same as the actual direction (i>0)
The reference direction is opposite to the actual direction (i<0)
Two representation methods
Indicated by arrow
Expressed with double subscripts
Current (number of generations)
size
Direction (positive or negative)
Reference direction of voltage
Voltage U → unit positive charge under the action of electric field force The electric energy transferred from point a to point b is the voltage between point a and point b.
Unit V(volt).kV,mV,μV
Reference direction of voltage (drop) → Assume high potential points in the direction of low potential
The reference direction is the same as the actual direction U>0
The reference direction is opposite to the actual direction U<0
Three representation methods
Indicated by arrow
Represented by positive and negative poles
Expressed with double subscripts
Potential
Reference points are arbitrary
Only one reference point can be selected in a China Unicom system
The potential of the reference point is 0
Correlation reference direction → current reference direction and voltage reference ""to"-"pole The directions are consistent, that is, the current and voltage drop reference directions are consistent. On the contrary, it is called a non-associative reference direction.
1.3 Electrical power and energy
Electric power: work done by electric field force per unit time (unit W)
Determining whether a circuit absorbs or emits power
u,i take the associated reference direction, then P=ui
u,i take the non-associated reference direction, then P=-ui
P>0 absorbs or consumes power
P<0 provides or emits power
Energy (unit J)
1.4 Circuit components
Circuit component → the most basic unit in the circuit Component characteristics: The two terminals of the component Algebraic functional relationships between circuit physical quantities. Note: If the mathematical relationship that characterizes the terminal characteristics of a component is a linear relationship, the component is called a linear component, otherwise it is called non-linear components.
lumped parameter circuit Lumped condition → the length is much larger than the electromagnetic wavelength Lumped element → at any time, the flow into the two-terminal element The current flowing from one terminal must be equal to the current flowing from the other terminal The current flowing out, and the voltage between the two terminals is a single value. Lumped parameter circuit → circuit composed of lumped elements