Confirm Electric Field at Point in Magnetic Field

In summary, the conversation discusses finding the electric field (E) at a point where an electron with velocity u = (3,12,-4) x 10^5 is experiencing no net force in a magnetic field B = (10,20,30). The formula E = u cross B is used, but the answer obtained (4.4 x 10^7, -1.3 x 10^7, -6 x 10^6) does not match the answer in the book, which may be incorrect. The conversation also mentions the possibility of reversing the signs and the use of the Lorentz force equation.
  • #1
formulajoe
177
0
an electron with velocity u = (3,12,-4) x 10^5 experiences no net force at a point in a magnetic field B = ((10,20,30)/ Find E at that point.

I found the magnetic force by u cross B. Set Fe equal to Fm. Divided by q to get E = u cross B. but I am not getting the same answer as the back of the book. just need a confirmation.
im getting E = (4.4 x 10^7, -1.3 x 10^7, -6 x 10^6)
the book has the same number for the x direction, its just 4400.
 
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  • #2
[tex] m\vec{0}=q_{e}\left(\vec{E}+\vec{u}\times\vec{B}\right) [/tex]

That's all u need.Use it propertly.

Daniel.
 
  • #3
I came up with the same numbers. It's just a simple cross product, the answers in the book must be wrong.
 
  • #4
Signs should be reversed though, from bringing E to the other side of the Lorentz force equation.
 
  • #5
Are u sure that [itex] E_{x} [/itex] is not [itex]-4.4\cdot 10^{7} \frac{V}{m} [/itex]...?

Daniel.
 
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  • #6
what is that formula for?
 
  • #7
What formula?

Daniel.
 

1. What is an electric field?

An electric field is a physical field that surrounds electrically charged particles and exerts a force on other charged particles within its range. It is a fundamental concept in electromagnetism and is measured in units of volts per meter (V/m).

2. How is an electric field affected by a magnetic field?

An electric field is not affected by a magnetic field, as they are two distinct physical phenomena. However, a changing magnetic field can create an induced electric field, as described by Faraday's law of induction.

3. How is the electric field confirmed at a point in a magnetic field?

The electric field at a point in a magnetic field can be confirmed using the Lorentz force law, which states that the force on a charged particle in an electric and magnetic field is equal to the product of the charge, electric field, and velocity of the particle. By measuring the force on a charged particle at a specific point in a magnetic field, the electric field can be determined.

4. What is the relationship between electric and magnetic fields?

The relationship between electric and magnetic fields is described by Maxwell's equations, which show that a changing electric field produces a magnetic field and vice versa. This is known as electromagnetic induction and is the basis for many electrical and electronic devices.

5. Can the electric field at a point in a magnetic field be manipulated?

Yes, the electric field at a point in a magnetic field can be manipulated by changing the strength or direction of the magnetic field. This can be done using devices such as electromagnets, which use electric current to generate a magnetic field. Additionally, the electric field can be altered by changing the charge or velocity of particles within the field.

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