Re: Physics/math gurus - where art thou?
dseppala_at_austin.rr.com
Date: 03/17/05
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Date: Thu, 17 Mar 2005 19:03:33 GMT
On Fri, 11 Mar 2005 17:40:12 GMT, "Todd" <xyz@nospam.com> wrote:
>
><dseppala@austin.rr.com> wrote in message
>news:422cfa3f.6255745@news-server.austin.rr.com...
>> ...
>> Let a wire be one meter in length in line with the x-axis. Let there
>> be an electrical circuit in another frame that has two contact points
>> 0.51 meters apart, oriented along the x-axis. Let these two frames
>> have a relative velocity of 0.866c along the x-axis.
>>
>> In the electrical circuit frame, the length of the wire is measured to
>> be 0.5 meters. Therefore, only one contact point of the electrical
>> circuit touches the wire at any given time as measured in this frame
>> as the wire and circuit move past each other.
>>
>> In the wire frame, the two contact points of the electrical circuit
>> are measured to be 0.255 meters in length. Therefore, as the contact
>> points move across the wire, both contacts points touch the wire at
>> the same time, and they stay in contact for (1.0 - 0.255)m/0.866c, or
>> approximately 2.8 nanonseconds (assuming c= 3*10**8 m/s). Now
>> electric current supposedly flows along the 0.255 meters in 0.255m/c
>> or 0.85 nanoseconds.
>>....
>
>Looks like you forgot that in the wire frame the gap between the contact
>points is moving. The time it would take a light signal to travel across
>this moving gap according to the wire frame is 0.255/(c-v). Using v = .866
>c, this yields a time of about 6.34 ns. As expected this is greater than
>the 2.87 ns that the wire closes the gap. So, no current is set up in the
>circuit.
>
>Todd
I'm not certain I follow your explanation. I follow that the gap is
moving at 0.866c across the wire. In the circuit the current could be
flowing in the direction of V, in the opposite direction of V, or at
some arbitrary direction wrt V. It seems that you chose that the
current is flowing in the same direction as V. What happens if the
current is flowing in some other direction wrt V?
Thanks,
David
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