A 125 kva transformer having primary voltage of 2000v at 50 hz has 182 primary and 40 secondary turns. Neglecting losses, calculate: i) the full load primary and secondary currents. Ii) the no-load secondary induced emf. Iii) maximum flux in the core.
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(i) Full load primary current = 62.5 A
Full load secondary current = 284.375 A
(ii) For an ideal transformer, E2 = V2 = 439.56 V
(iii) Maximum flux in core = 2.475 Wb
For full load primary current can be calculated from the rated power.
P (kva) =
∴ 125 × 1000 = V × Ip
∴ Ip =
∴ Ip = 62.5 Ampere
As = ,
Is =
∴ Is = 284.375 Ampere
For an ideal transformer, E2 = V2
∴ Vs =
∴ Vs = 439.56 V
∴ It is a step down transformer.
(iii) Equation for maximum flux:
V1 = 4.44 × N1 × Фm
∴ Фm = 2.475 Wb
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