Calculate the energy in a magnetic field of a wound coil having an inductance of 2 henry’s after the current reaches its maximum value of 3 amperes. Wm = 1/2 LI2 = 1/2 x 2H x (3A)2 = 9 joules This means the coil stores 9 joules of energy within its magnetic field.
Storage rings typically operate with a vertical emittance that is of order 1% of the horizontal emittance, but many can achieve emittance ratios somewhat smaller than this. ∗T. Raubenheimer, SLAC Report 387, p.19 (1991). Quantum effects excite longitudinal emittance as well as transverse emittance.
In practice, the vertical emittance is dominated by magnet alignment errors. Storage rings typically operate with a vertical emittance that is of order 1% of the horizontal emittance, but many can achieve emittance ratios somewhat smaller than this. ∗T. Raubenheimer, SLAC Report 387, p.19 (1991).
Every magnetic field contains some form of energy, which we generally refer to as Magnetic Energy, W m. With the energy stored in a magnetic field being one of the fundamental principles of physics, finding applications in various branches of science and technology, including electromagnetism and electronics.
This volume is given simply as: V = Aℓ. When the magnetic field is uniform, it becomes strongest inside the core, so most of the energy is stored there. If there is no magnetic material inside (an air-core inductor), the energy becomes stored within the gaps and space purposely introduced in the path of flux lines.
Bent magnets in principle offer the advantage that the particles can travel in the good field region along nearly the entire length of the magnet, in- stead of coming close to the beam tube both at the ends and in the center and experiencing inhomogeneous fields there. Therefore, the use of bent superconducting magnets has been envisaged for HESR.