Understanding the E Field Observed by a Stationary Observer

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The discussion revolves around calculating the electric field (E Field) observed by a stationary observer on Earth from a rocket traveling at 1.0*10^6 m/s, which has its own E Field of 2.0*10^6 V/m and a magnetic field (B Field) of -1.0 T. The initial calculation using the Lorentz transformation appears incorrect due to a misunderstanding of the velocity variable, which should represent the charge's velocity in the E/B field rather than the rocket's speed. Participants emphasize the need to clarify the reference frame for the E and B fields and the rocket's orbit concerning Earth to apply the Lorentz transformations correctly. Overall, the discussion highlights the complexities of relativistic effects on electromagnetic fields.
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I have a problem that I can not understand what I am doing wrong.

A rocket moves at 1.0*18^6 m/s. Inside is an E Field (coming out of the page of the book) that is 2.0*10^6 V/m. There is also a B Field in the rocket pointing up that is -1.0 T. What is the E Field observed by someone on Earth. (The rocket is sooming past Earth.)

I used E = E - V X B

= E - V*B (V and B are perpindicular)

= sqrt((1.0*10^6)^2 + (2.0*10^6)^2)

However this does not yield the correct answer. Any help is appreciated.
If anyone is working the numbers I got 2.24*10^6.
 
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a hint,

the v in the Lorentzformula that you used, does not correspond to the velocity of the rocket. This v is the velocity of the charge that moves in the E/B field. Also, the given rocket velocity is with respect to the earth, right ?

Also,

The magnitude of the E and B field are given with respect to what base exactly ? You need to know this if you want to (which you are gonna) apply the Lorentz transformations.

What is the orbit of the rocket with respect to the Earth ?

You see, there are some aspects missing in your question.


marlon
 
Last edited:
marlon said:
a hint,

the v in the Lorentzformula that you used, does not correspond to the velocity of the rocket. This v is the velocity of the charge that moves in the E/B field. Also, the given rocket velocity is with respect to the earth, right ?

Also,

The magnitude of the E and B field are given with respect to what base exactly ? You need to know this if you want to (which you are gonna) apply the Lorentz transformations.

What is the orbit of the rocket with respect to the Earth ?

You see, there are some aspects missing in your question.


marlon

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But I realize that my opinion is not important.

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