Find V of a partical in B field :O

In summary, The task is to calculate the y component of velocity of a particle with charge of 5.40nC moving in a uniform magnetic field of B= -(1.20 )Tz^. The measured magnetic force on the particle is F=3.50×10−7N X^ + 7.60×10−7N Y^ . Using the formula F= qv x B and F = qvBSin(theta), the solution involves finding the x and y components of the force and setting them equal to the x and y components of the velocity. The resulting equation is F=x^(5.4Vy*1.2Z^T)-Y^(5.4Vx*1
  • #1
SoulofLoneWlf
29
0

Homework Statement


A particle with a charge of 5.40nC is moving in a uniform magnetic field of B= -(1.20 )Tz^. The magnetic force on the particle is measured to be F=3.50×10−7N X^ + 7.60×10−7N Y^ .

Calculate the y component of the velocity of the particle.

Homework Equations


F= qv x B
F = qvBSin(theta)


The Attempt at a Solution


lost trying to use the magnitude to find also
i tried
F/qb=Vsin(theta) doesn't seem to yield results yet :/
 
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  • #2
Hi SoulofLoneWlf! :smile:
SoulofLoneWlf said:
A particle with a charge of 5.40nC is moving in a uniform magnetic field of B= -(1.20 )Tz^. The magnetic force on the particle is measured to be F=3.50×10−7N X^ + 7.60×10−7N Y^ .

Calculate the y component of the velocity of the particle.

Hint: call the velocity (Vx,Vy,Vz) …

then what is the x-component of the force? :wink:
 
  • #3
tiny-tim said:
Hi SoulofLoneWlf! :smile:Hint: call the velocity (Vx,Vy,Vz) …

then what is the x-component of the force? :wink:

so would it be possible for me to say v = Vx + Vy + Vz
...
Fy=qVyBsin(thetha)?
 
  • #4
SoulofLoneWlf said:
Fy=qVyBsin(thetha)?

erm :redface:

right idea :smile:, wrong result :cry:
 
  • #5
tiny-tim said:
erm :redface:

right idea :smile:, wrong result :cry:

hahaha felt that was wrong hmm let me try again i guess ><"
 
  • #6
tiny-tim said:
erm :redface:

right idea :smile:, wrong result :cry:

F=x^(5.4Vy*1.2Z^T)-Y^(5.4Vx*1.2TZ^)
then place value for F as 3.50x10^-7 etc and equal x to x and y to y??
 
  • #7
SoulofLoneWlf said:
F=x^(5.4Vy*1.2Z^T)-Y^(5.4Vx*1.2TZ^)
then place value for F as 3.50x10^-7 etc and equal x to x and y to y??

Yup! :biggrin:
 
  • #8
tiny-tim said:
Yup! :biggrin:

ur amazing thank you ^-^
 

Related to Find V of a partical in B field :O

1. What is a B field?

A B field, also known as a magnetic field, is a region in space where a magnetic force can be detected. It is produced by moving electric charges and can interact with other moving charges.

2. How is the velocity of a particle in a B field calculated?

The velocity of a particle in a B field is calculated using the Lorentz force equation, which takes into account the particle's charge, velocity, and the strength and direction of the B field.

3. What is the direction of the velocity of a particle in a B field?

The direction of the velocity of a particle in a B field is perpendicular to both the direction of the B field and the direction of the particle's motion. This is known as the right-hand rule.

4. How does the strength of the B field affect the velocity of a particle?

The strength of the B field directly affects the velocity of a particle. A stronger B field will result in a greater deflection of the particle's path, while a weaker B field will result in a smaller deflection.

5. What is the significance of finding the velocity of a particle in a B field?

Finding the velocity of a particle in a B field is important in understanding the behavior of charged particles in magnetic fields. It can also be used in various applications such as particle accelerators and magnetic resonance imaging (MRI) technology.

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