Savchenko Problem 14.3.8

Physics

Problem

a. The formula for the transformation of the E and B fields when they move at the speed

\beta

c has the following form:

\vec{E'}

\vec{E_\parallel}

\gamma

(

\vec{E_\perp}

- [

\vec{\beta}

\times

\vec{B_\perp}

]),

\vec{B'}

\vec{B_\parallel}

\gamma

(

\vec{B_\perp}

+ (

\vec{\beta}

\times

\vec{E_\perp}

]),

\gamma

\frac{1}{\sqrt{1-\beta^2}}

, where

\vec{E'}

and

\vec{B'}

are the electric and magnetic fields in the drift;

\vec{E_\parallel}

\vec{E_\perp}

and

\vec{B_\parallel}

\vec{B_\perp}

— components electric and magnetic fields fields, parallel services and perpendicular lines

-c\vec{\beta}

in the initial system. The movement of the

\vec{E'}

and

\vec{B'}

fields at a speed of

-c\vec{\beta}

returns the previous state. Check it out. b. Using the field transformation formulas given in point a, solve the following problems: 14.3.1-14.3.3, 14.3.5. c. Using the field transformation formulas given in point a, solve problems

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