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Calculation of the average and R.M.S. values of primary current.


Identifier  ExFiles\Box 69\1\  scan0007
Date  30th April 1924 guessed
  
-2- Contd.

B. AVERAGE AND R.M.S. VALUES OF PRIMARY CURRENT.

Number of breaks per second = 70
Make ratio r = .500
Then period T' = .0143 secs.
Period of make t' = .500 x .0143 = .00714 second.
Time of break = .00714 second = t"
Time constant ratio = s = t₁/T' = .003795 / .0143 = .2653

x/s = t'/t₁ = 1.882

e ^ (-R {Sir Henry Royce} /L * t') = e ^ (-t'/t₁) = e ^ -1.882

= 10 ^ -.8182 = 10 ^ (1̄.1818) = .152

whence x = .848.
and current at break C' = x.C₀ = 2.68 amperes

e ^ (-2r/s) = (.152)² = .023

y = 1 - e ^ (-2r/s) = .977.

The average current C = C₀ (r - x s)
= 3.16 (.500 - .225)
= 3.16 x .275 = .870 amperes.

Contd.
  
  
From the Rolls-Royce experimental archive: a quarter of a million communications from Rolls-Royce, 1906 to 1960's. Documents from the Sir Henry Royce Memorial Foundation (SHRMF).


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