Does a charge radiate only when changing direction?

[alba]

They say that an electron accelerating radiates and loses energy, and that is one of the reasons why an electron cannot orbit a nucleus:

- 1) does a charge accelerating in a straight line radiate, and what is the rate of radiation? do we have to supply extra Ke (apart from m/2 v^2) when we accelerate an electron?

- 2) Ke in the ground state of hydrogen is 13.6 eV, what energy per second should we supply anelectron to keep it in orbit,? I tried to apply the formula at wiki, but I get 1 Tera eV

 

[Drakkith]

- 2) Ke in the ground state of hydrogen is 13.6 eV, what energy per second should we supply anelectron to keep it in orbit,? I tried to apply the formula at wiki, but I get 1 Tera eV

None. The electron in the ground state is already in a stable orbital and cannot drop down any further. Note that classical E&M rules don't apply at the atomic level. For that you need Quantum Mechanics.

 

[alba]

I am referring to the classical model, of course. I'd like to know how much extra energy is necessary to compensate the bremsstrahlung.

My main question, anyway, concerns an accelerating charge in a straight line, does it radiate?

 

[sophiecentaur]

I am referring to the classical model, of course. I'd like to know how much extra energy is necessary to compensate the bremsstrahlung.

My main question, anyway, concerns an accelerating charge in a straight line, does it radiate?

Why not?
Fast charged particles can be brought to a halt when they enter a solid mass and they release high energy radiation. That would involve 'linear' (negative) acceleration over a very short time (/ distance). I can't think of a mechanism that would produce positive acceleration with as high a value - except in nuclear reactions. But that would instantly take you into the realms of non-classical Physics.
But you seem to be requiring an 'unhealthy' mix of Classical and QM, which usually means tears before bed time.

 

[alba]

Why not?
But you seem to be requiring an 'unhealthy' mix of Classical and QM, which usually means tears before bed time.

No, I am simply asking what happens when you accelerate (not decelerate) an electron.
Also, I am asking, if a charge circles a nucleus with 13.6 eV Ke , how much energy is needed to compensate bremsstrahlung. According to Larmor formula it should exhaust its Ke in 10^-11 seconds., but I think it is naive to multiply 13.6 by 10^11. That's how I got 1 Tera eV. Did you get that?

 

[BvU]

what happens when you accelerate (not decelerate) an electron

https://en.wikipedia.org/wiki/Bremsstrahlung#Total_radiated_power
the expression for P can deal with both cases: $\beta$ and $\dot\beta$ pointing in the same or in opposite directions

 

[sophiecentaur]

what happens when you accelerate (not decelerate) an electron.

There is no difference. It's the same thing in different frames.

 

[Khashishi]

It seems like you are confusing energy and power. Larmor formula gives a radiated power, not an energy.