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The total number of turns in the magnet coils, denoted as (N), can be calculated based on the specific design requirements and operational principles of the electromagnetic device in question. However, a common formula used in the context of designing solenoid coils or similar electromagnetic devices relates the total number of turns to the magnetic flux ((Phi)), the current ((I)), the length of the coil ((l)), the permeability of free space ((mu_0)), and the relative permeability of the core material ((mu_r)). This relationship is derived from Ampere’s Law and the definition of magnetic flux density ((B)) and can be represented as:
[
N = frac{l cdot B}{mu_0 cdot mu_r cdot I}
]
where:
– (B) is the magnetic flux density in Teslas (T),
– (l) is the length of the coil in meters (m),
– (mu_0) is the magnetic constant or the permeability of free space ((4pi times 10^{-7}) Tm/A),
– (mu_r) is the relative permeability of the core material (dimensionless),
– (I) is the current through the coil in Amperes (A).
It’s crucial to note that this formula is a simplified representation and assumes a uniform magnetic field and a long solenoid. The actual design may
b
Explanation: The mmf per coil is first calculated. Next, the current flowing through the
coils is measured and on substitution gives the total number of turns