Calculating Magnetic Field Magnitude at Fermilab Accelerator in Batavia, IL

In summary, the conversation discusses the parameters of the fermilab accelerator in Batavia, Illinois, including the momentum and circular orbit of protons and the magnitude of the upward magnetic field required to keep them in orbit. The summary advises to approach the problem systematically by calculating the force of the field on the proton and the necessary force to maintain circular motion.
  • #1
dev-hud
16
0
At the fermilab accelerator in Batavia, Illinois, protons having momentum 4.8 x 10^-16 kg x m/s are held in a circular orbit of radius 1 km by an upward magnetic field. What is the magnitued of this field?


r = 1000 m

So i do not understand what are we trying to find here? the question asks for the magnitude of the field, but how are we to solve for the magnitude with just 2 varibale given to us? Very Confuzed
 
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  • #2
Hi dev-hud! :smile:

Do it systematically, one step at a time:

i] what is the force of a field B on the proton?

ii] what force is necessary to make the proton move in a circle of radius r?
​
(call the mass m, and the velocity v)
 
  • #3
B=mv/qr

since p=mv therefore: B=p/qr
 

1. How do you calculate the magnetic field magnitude at Fermilab?

To calculate the magnetic field magnitude at Fermilab, you will need to use the formula B = μ0(I/2πr), where B is the magnetic field magnitude, μ0 is the permeability of free space, I is the current, and r is the distance from the source of the magnetic field.

2. What is the unit of measurement for magnetic field magnitude?

The unit of measurement for magnetic field magnitude is Tesla (T). Other common units include Gauss (G) and Oersted (Oe).

3. How do you measure the current at Fermilab?

The current at Fermilab can be measured using an ammeter, which is a device that measures the flow of electric current in a circuit. The ammeter should be placed in series with the circuit to accurately measure the current.

4. How does the magnetic field magnitude affect particle acceleration at Fermilab?

The magnetic field magnitude plays a crucial role in particle acceleration at Fermilab. As particles move through the accelerator, they are subjected to a magnetic field that causes them to follow a curved path. The stronger the magnetic field, the more tightly the particles will curve, resulting in higher acceleration.

5. Are there any safety precautions to consider when working with magnetic fields at Fermilab?

Yes, there are several safety precautions to consider when working with magnetic fields at Fermilab. It is important to ensure that all equipment is properly grounded and insulated to prevent electric shocks. Additionally, strong magnetic fields can affect the function of electronic devices, so it is important to keep them at a safe distance. Finally, individuals with pacemakers or other medical devices should consult with their doctor before entering areas with strong magnetic fields.

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