Relative Magnetic Fields: What is Reality?

In summary, according to the book 'Einstein' by Andrew Robinson, a charge at rest does not produce a magnetic field. However, for an observer in motion, the charge will appear to be moving and a magnetic field will be detected. This concept may be confusing as it suggests that the charge has both a magnetic field and no magnetic field at the same time. However, the outcome of any measurement of the magnetic field is frame invariant, meaning it will be the same in any reference frame. This demonstrates the covariant nature of the laws of electromagnetism.
  • #1
abrogard
99
3
According to page 61 'Einstein' by Andrew Robinson an electric charge at rest produces no magnetic field.

But: For an observer moving East with uniform motion the charge will appear to be moving West uniformly and B, using a sensitive compass, will detect a magnetic field around the 'moving' charged object.

This boggles my mind.

This charge has simultaneously a magnetic field and no magnetic field?

So that if the field were to produce an output of some sort it would simultaneously not produce and produce an output?

Well, a magnetic field IS an output, isn't it?

I envisage whole electric motors both switched on an switched off at the same time...
 
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  • #3
abrogard said:
This charge has simultaneously a magnetic field and no magnetic field?
I wouldn't use the word "simultaneously" since it has a specific meaning that doesn't work here. But yes, at every event the field is purely electric in one frame and is electric plus magnetic in other frames.

abrogard said:
So that if the field were to produce an output of some sort it would simultaneously not produce and produce an output?
No, the outcome of any measurement is frame invariant.

abrogard said:
Well, a magnetic field IS an output, isn't it?
How would you measure the magnetic field? Whatever way you can think of, you are guaranteed that the measurement will come out the same in any reference frame. The laws of EM are covariant.
 

1. What is a relative magnetic field?

A relative magnetic field is a measure of the strength and direction of a magnetic field with respect to a reference point or frame of reference. It is used to describe the relationship between different magnetic fields and their effects on charged particles.

2. How is a relative magnetic field measured?

A relative magnetic field is typically measured using a magnetometer, which is a device that can detect and measure the strength and direction of magnetic fields. Other methods, such as using a compass or a Hall effect sensor, can also be used to measure relative magnetic fields.

3. What factors affect the strength of a relative magnetic field?

The strength of a relative magnetic field is influenced by several factors, including the distance from the source of the magnetic field, the strength of the magnetic source, and the orientation of the magnetic source relative to the reference point. Other factors, such as the presence of other magnetic fields or materials, can also affect the strength of a relative magnetic field.

4. How do relative magnetic fields affect charged particles?

Relative magnetic fields can exert a force on charged particles, causing them to move in a circular or helical path. The strength and direction of the magnetic field can determine the magnitude and direction of this force. Additionally, relative magnetic fields can also affect the velocity and energy of charged particles.

5. What is the difference between a relative magnetic field and an absolute magnetic field?

An absolute magnetic field is a measure of the strength and direction of a magnetic field at a specific point in space, independent of any reference point. A relative magnetic field, on the other hand, is a measure of the strength and direction of a magnetic field with respect to a reference point. In other words, the absolute magnetic field is the actual value of the magnetic field, while the relative magnetic field is a comparison to a known value.

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