• Physics notes: Circuit elements and circuits
  


• The Fermilab Booster, a giant LRC circuit
  


• Related problems

Booster as a simplified circuit

A cell in Booster is the smallest repeating element of the Booster Ring. In this cell there is a focusing magnet, a defocusing magnet, a choke system, and a capacitor bank. There are 48 of these cells in the Booster Ring.

The magnets in Booster can be thought of as the inductors. An inductor stores electric energy in the form of a magnetic field surrounding it. As the current increases, the magnetic field expands, it absorbs and stores the energy.

Now that you know why, here is how it works. The RF system can also be simplified into an RLC circuit. Here is an RF equivalent circuit simplified (see below).

Problems

 Accumulator ring antiproton beam current

Q1: The Fermi lab Accumulator ring has a circumference of 498 mt. The particles can be considered to
    be moving at the speed of light, c = 3 x 108m/s. If there are 1010  antiprotons in the machine. What is the beam current?

      Answer

Ans1:

                                      1010(1.6 x 10-19 C) (3 x 108 m/s)   
               Ibeam  =               __________________________         »  1 X 10-3 A = 1mA        
    			                            498m