Continue to Site

Welcome to EDAboard.com

Welcome to our site! EDAboard.com is an international Electronics Discussion Forum focused on EDA software, circuits, schematics, books, theory, papers, asic, pld, 8051, DSP, Network, RF, Analog Design, PCB, Service Manuals... and a whole lot more! To participate you need to register. Registration is free. Click here to register now.

Register Log in

How one can deduce an accelerating charge radiates?

Status
Not open for further replies.
Fractional-N

Fractional-N

Full Member level 1
Full Member level 1
Joined
Oct 15, 2007
Messages
97
Helped
2
Reputation
4
Reaction score
2
Trophy points
1,288
Activity points
2,071
how one can deduce from maxwell equations that an accelerating charged particle radiates electromagnetic waves? from which equations it is derived?
 

Any static charge will have a static field.
Now, if charge starts moving it will generate a time varying field given by maxwell's time harmonic equations
Code: 
curl[B]E[/B] = -j\[\omega\]\[\mu\][B]H[/B]
curl[B]H[/B] = (\[\sigma\] + j\[\omega\]\[\mu\]\[\varepsilon\])[B]E[/B]

Now taking curl (roughly you can think of it as diffrentiating wrt time) & doing some math, & assuming the conditions for free space we get the wave equations.
Code: 
\[\nabla\][SUP]2[/SUP] \[\vec{ E}\] = \[\mu\]\[\varepsilon\]\[ \frac{\partial^2 E}{\partial (t^2)}\] 

\[\nabla\][SUP]2[/SUP]\[\vec{ H}\] = \[\mu\]\[\varepsilon\]\[ \frac{\partial^2 H }{\partial (t^2) }\]
 
Status
Not open for further replies.

Similar threads

Part and Inventory Search

Welcome to EDABoard.com

Sponsor

Back
Top