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lesson_7_-_Lorentz_Force

# lesson_7_-_Lorentz_Force - EE3321 ELECTROMAGNETIC FIELD...

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EE3321 ELECTROMAGNETIC FIELD THEORY Lesson 7 1. Lorentz Force The Biot Savart Law allows us to calculate the magnetic field B from a current I following a linear path l . AS we will see below, knowledge of B allows us to determine the force exerted on a moving charged particle or current-carrying conductor The force exerted on a charge q with velocity v is given by F m = q v x B Similarly, the force on a conductor carrying a steady current I is given by F m = I d l x B Notice that in both cases the force and the magnetic field are perpendicular to each other. Exercise: An electron with constant velocity v = v o x enters in a magnetic field B = B o z . Calculate the initial magnetic force F exerted on the electron. Since the force constantly changes the direction of the electron, the electron will start moving in a circular pattern preserving its initial speed v o . Set the magnitude of F equal to the centrifugal force ½ m e r 2 to derive an expression for the radius of rotation r in terms of B o . Exercise: A straight wire carries a current I = 1 mA in the –x direction. The wire feels a force of 1 N per meter in the –z direction. Calculate the magnetic flux density B y .

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2. Definition of Ampere
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lesson_7_-_Lorentz_Force - EE3321 ELECTROMAGNETIC FIELD...

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