[EE] Figuring out the E and B fields from two dipoles

In summary, the conversation discusses how to solve a problem involving the derivative of the p function and inserting it into an equation. The main point of confusion is the R̅ vector, which is not clearly defined in the literature and traditionally represents the distance between the end and start positions. The problem is not considered an introductory physics problem and involves the use of vectors R and r.
  • #1
Ran4
4
0
Image of the problem:
xY1SL.png


It should be very straightforward: derivate p twice and insert it into the equation. I can do all that, but what is the R̅ vector supposed to be? I've read the literature, but it uses a different formula (that I'm not allowed to have with me to the exam) and it never defines R̅. Traditionally it's always been r̅ = r̅' - r̅, where r̅' is the end position and r is the start position, so I suppose that means r̅ = (0,0,0).
 
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  • #2
This is definitely not an introductory physics problem. As for what the vectors mean, R is the vector from the dipole to the point of interest, and r is not 0.
 

FAQ: [EE] Figuring out the E and B fields from two dipoles

How do I calculate the E and B fields from two dipoles?

To calculate the E and B fields from two dipoles, you will need to use the equations for electric and magnetic fields generated by a dipole. These equations take into account the distance between the dipoles, their orientations, and the strength of their charges or currents. You can also use vector addition to determine the total fields at a given point.

What is the difference between the E and B fields?

The E field, or electric field, is a vector field that describes the electric force exerted on a charged particle at any given point in space. The B field, or magnetic field, is a vector field that describes the magnetic force exerted on a moving charged particle. While both fields are related to each other, they have different units and are caused by different physical phenomena.

How do the E and B fields interact with each other?

The E and B fields are closely related and often interact with each other. When a charged particle moves through a magnetic field, it experiences a force perpendicular to its velocity, as described by the Lorentz force law. This motion then creates a changing electric field, and the cycle continues. This phenomenon is known as electromagnetic induction and is the basis for many technological applications, such as generators and motors.

Can the E and B fields be measured directly?

Yes, both the E and B fields can be measured directly using various instruments. Electric fields can be measured using a device called an electroscope, which detects the presence and strength of an electric field. Magnetic fields, on the other hand, can be measured using a magnetometer, which senses the strength and direction of a magnetic field. Both fields can also be measured indirectly by observing their effects on charged particles or other objects.

What are some real-world applications of understanding the E and B fields from two dipoles?

Understanding the E and B fields from two dipoles is essential for many technological applications. For example, it is crucial in the design and functioning of electronic devices, including computers and smartphones. It is also essential in the development of medical imaging techniques such as MRI, which uses strong magnetic fields to create detailed images of the human body. Understanding these fields is also crucial in the study of the Earth's magnetic field and its effects on our planet and its inhabitants.

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