《Electromagnetism, principles and application》教学课件（PPT讲稿）Chapter 11 Magnetic Fields：Iv

Chapter 1l Magnetic Fields: IV Motional electromotance Faraday induction Law forv x B Fields Lenz' law Faraday Induction Law for Time Dependent B Flux Linkage E in terms of∨andA

Chapter 11 Magnetic Fields:IV ◼ Motional Electromtance ◼ Faraday Induction Law for v x B Fields ◼ Lenz’ Law ◼ Faraday Induction Law for Time￾Dependenct B ◼ Flux Linkage ◼ E in Terms of V and A

In this chapter we are with two phenomena 1)The Lorentz force Qv b on the charge carriers inside a moving conductor If a magnetic field is time-dependent then there ppears an electric field oA(t/at

11.1 Motional electromotance Consider a conductor moving at a velocity v in a magnetic field The conduction electrons inside the conductor also move with v Then we know that the conduction electrons drifts driven by the lorentz force - ev X B If the conductor forms a closed circuit c. then the electrons move forming a current in the circuit as if there were a battery supplying a voltage =(v×B)

Remarks 1)v is called the induced electromotance or the motional electromotance. lts unit is volt 2)v adds algebraically to the voltages of other sources hat may be present in the circuit

11.2 The Faraday Induction Law for vX B Fields The induced electromotance can be written as =(v×B)·dl=-kB·(v×dl, Where we have used the formula (A×B)C=-B·(A×C), which is true for any vectors a, b and c