Re: twins paradox problem

On Tue, 14 Mar 2006 14:11:30 +0000, dseppala wrote:

I've never seen an answer to this twins paradox question.

It is because you never looked. You close your eyes in the presence
of answers, and you never invest any effort in finding them yourself.

You invest lots of effort in finding problems, and none in finding
solutions. So you find problems, not solutions. What a surprise.


In this problem, instead of two twins there is a battery and a light
bulb connected with a pair of wires. An ammeter at the battery
measures that one ampere (one columb per second) is flowing there.
An ammeter at the light bulb measures that one ampere is flowing
through the light bulb.

Now as in the twin's paradox we let the light bulb accelerate to V,
travel for some distance,


Here is your FIRST TASK:

Given that the current through the battery is 1 amp in the rest frame
of the BATTERY, determine the current through the bulb as measured in
the rest frame of the LIGHTBULB.

Either prove that the measured currents match, or if they don't match,
determine what the "moving" reading must be. Use numbers, algebra,
Lorentz transforms, and stuff like that, not just waving hands.

You have _assumed_ the measured currents match. But is that correct?
YOU DON'T KNOW; you are guessing.


Here is your SECOND TASK, even more interesting than the first:

Determine the _voltage_ across the _lightbulb_ as measured by an
observer at rest with respect to the _bulb_.

Then determine the _voltage_ across the _lightbulb_ as measured by an
observer at rest with respect to the _battery_. (Do the values
match?)

Then determine the _power_ drawn by the lightbulb in each frame, and
see if the values match between the frames. How does that value
compare with the power drawn from the battery, as measured in each
frame?

When you have done these things, post the result, and we can take it
from there.

If you _attempt_ what I have asked and realize that you can't do it,
_post_ your attempt at a solution, and we will work with you to get a
correct answer.

But until you have actually attempted a calculation, AND _posted_ your
attempt, with algebra and numbers and stuff (_NOT_ just handwaving)
don't expect others to jump through hoops at your request.

Every time I've made a request like this of you in the past you have
posted more handwaving with some "proofs by assertion", without any
calculation, and/or you have changed the subject. Surprise us all:
Attempt a real calculation, and post your work (and the answer, if you
work it through to one).

[snip the rest of the problem, as Seppala has not even attempted the
first step, and just asks others to do stuff at his request]


--
Nospam becomes physicsinsights to fix the email


.

Relevant Pages

  • Re: twins paradox problem
    ... Given that the current through the battery is 1 amp in the rest frame ... You have _assumed_ the measured currents match. ... But until you have actually attempted a calculation, ...
    (sci.physics.relativity)
  • Re: twins paradox problem
    ... Given that the current through the battery is 1 amp in the rest frame ... You have _assumed_ the measured currents match. ... But until you have actually attempted a calculation, ...
    (sci.physics.relativity)
  • Re: twins paradox problem
    ... An ammeter at the light bulb measures that one ampere is flowing ... Given that the current through the battery is 1 amp in the rest frame ... You have _assumed_ the measured currents match. ...
    (sci.physics.relativity)
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