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# Lecture 2 Basic Laws & Circuit Analysis

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## 解电路方法

• number of independent KCL equations is nodes -1

• number of independent KVL equations is meshes

1. KCL
2. KVL
3. physical law of each element

## physical law of each element

two techniques

1. Nodal analysis节点分析法/电压法
2. Mesh analysis网孔分析法/网孔电流法

### Nodal analysis

steps as follow:

1. Select a node as the reference (i.e. , ground) node
2. assign $-v_{1},v_{2}\dots v_{n}-$ to the n nodes with unknown voltages
3. Apply KCL at n nodes

core: 假设出节点电压，列写出网孔KCL

### Mesh analysis

#### definition

• independent loop A loop is independent if it contains at least one branch which is not a part of any other independent loop

• mesh is a loop that does not contain any other loop within it.

Steps as follow:

1. Assign mesh currents $-i_{1},i_{2}\dots i_{m}-$ to the m meshes
2. Apply KVL to the m meshes

for planar circuit(no crossing branch)

core: 假设出网孔电流，列写出网孔KVL