Chapter 10 Magnetically coupled circuits 1 review A

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Chapter 10 Magnetically coupled circuits 含有耦合电感的电路 1

Chapter 10 Magnetically coupled circuits 含有耦合电感的电路 1

review A single inductor: u 3

review A single inductor: u 3

§ 10 -1 Mutual inductance 互感 4

§ 10 -1 Mutual inductance 互感 4

1. Mutual Inductance 互感 互感磁通 (耦合磁通) the changing magnetic flux developed by one coil

1. Mutual Inductance 互感 互感磁通 (耦合磁通) the changing magnetic flux developed by one coil will link the other coil — mutual inductance 5

∵Φ 21≤Φ 11 ,Φ 12≤Φ 22 Coefficient of coupling: 耦合系数 0≤K≤ 1,the closer the

∵Φ 21≤Φ 11 ,Φ 12≤Φ 22 Coefficient of coupling: 耦合系数 0≤K≤ 1,the closer the two coils are, the greater the flux linkage, the higher the value of k. k < 0. 5 loosely coupled; k > 0. 5 tightly coupled. 8

K≈1 K<<1 9

K≈1 K<<1 9

2. The relationship between the voltage and current in a coupled circuit 磁 通

2. The relationship between the voltage and current in a coupled circuit 磁 通 增 助 10

On the contrary: 磁通相消: 12

On the contrary: 磁通相消: 12

u u + + u 1 - u 2 - 14

u u + + u 1 - u 2 - 14

确定互感电压的极性: Dot convention: When the reference direction for a current enters the dotted terminal

确定互感电压的极性: Dot convention: When the reference direction for a current enters the dotted terminal of a coil, the reference polarity of the voltage that it induces in the other coil is positive at its dotted terminal. i i _ + 16

i 1 M i 2 ? u 1 L 2 u 2 ? 17

i 1 M i 2 ? u 1 L 2 u 2 ? 17

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作业 22: 《电路》 P 315 P 272 12 - 12 10 -3 《 Fundamentals

作业 22: 《电路》 P 315 P 272 12 - 12 10 -3 《 Fundamentals of Electric Circuits》: P 522 12. 32 23