Beam current

Taking a closer look at LHC

Measurement of Beam Current

The beam current is the basic quantity of the beam, It is the first check of the accelerator functionality and is very important for transmission measurement and to prevent for beam losses.

Different devices are used for this goal, but the LHC circulating beam current measurement is provided by current transformers. They are based in the  Measurement of the beam’s magnetic field. This kind of devices are non-destructive, they have no dependence on beam energy and they have lower detection threshold.

For LHC beam are used two DC current transformers (DCCT) and two fast beam current transformers (FBCT) per ring (so, eight transformers in total).

DC current transformers (DCCT)

In a very simple approximation we can introduce how transformers work as follows:

Beam creates, such as a  current-carrying wire, a magnetic field B.

Transformer "feels" this magnetic field.

Torus guides this magnetic field which produces a secondary current Isec on the secondary winding on the torus.

The crucial idea is that the beam acts as primary winding with Nbeam =1.

So,

Ibeam/Isec= Ntorus/Nbeam ⇒ Ibeam = Ntorus · Isec

By using Ohm's Law,

V = R · Isec    ,   so   Isec = V / R

and finally,

Ibeam = Ntorus·V / R

At full power, LHC beam current intensity is:

Ibeam = 0,58 Amperes

Considering 11245 laps we have:

0,58/11245 = 5,16·10-5 Culombs/lap

With  qproton = 1,602·10-19 C

5,16·10-5 / 1,602·10-19 = 3,22·1014 protons/lap

Since there are 2808 bunches per ring, we have finally:

3,22·1014/2808 = 1,15·1011 protons / bunch

 AUTHORS Xabier Cid Vidal, PhD in experimental Particle Physics for Santiago University (USC). Research Fellow in experimental Particle Physics at CERN from January 2013 to Decembre 2015. He was until 2022 linked to the Department of Particle Physics of the USC as a "Juan de La Cierva", "Ramon y Cajal" fellow (Spanish Postdoctoral Senior Grants), and Associate Professor. Since 2023 is Senior Lecturer in that Department.(ORCID). Ramon Cid Manzano, until his retirement in 2020 was secondary school Physics Teacher at IES de SAR (Santiago - Spain), and part-time Lecturer (Profesor Asociado) in Faculty of Education at the University of Santiago (Spain). He has a Degree in Physics and a Degree in Chemistry, and he is PhD for Santiago University (USC) (ORCID). CERN CERN WEBSITE CERN Directory CERN Experimental Program Theoretical physics (TH) CERN Experimental Physics Department CERN Scientific Committees CERN Structure CERN and the Environment LHC LHC Detector CMS Detector ATLAS Detector ALICE Detector LHCb Detector TOTEM Detector LHCf Detector MoEDAL Detector FASER Detector SND@LHC

IMPORTANT NOTICE

For the bibliography used when writing this Section please go to the References Section

© Xabier Cid Vidal & Ramon Cid - rcid@lhc-closer.es  | SANTIAGO (SPAIN) |