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1. A single-phase transformer has 500 turns on the primary and 40 turns on the secondary winding, The mean length of the magnetic path in the iron core is 150 cm and the joints are equivalent to an air gap of 0.1 mm. When a potential difference of 3000 V is applied to the primary, the maximum flux density is 1.2 T (Wb/m²). Given that At/cm for a flux density of 1.2 T (Wb/m²) in iron to be 5, the corresponding iron loss to be 2 watts/kg at 50 Hz and the density in the iron as 7.8 gram/cm³. [= 4x107 H/m] (a) Calculate the cross-sectional area X of the core. (b) (i) Calculate the turns ratio a. (ii) Calculate the no-load secondary voltage, E₂. (c) (i) Calculate the ampere-turn ATiron for the iron. (ii)Calculate the ampere-turn ATag for the air gap. (iii) Calculate total maximum ampere-turn ATmax- (d) Calculate maximum current /Imax drawn by the primary. (e) (i) Calculate the volume V of iron. (ii) Calculate the weight W of the iron. (f) (i) Calculate the total iron loss Ploss (ii) Calculate the iron loss component of the no-load primary current I. (ii) Calculate the iron no-load current of the primary current Io. (g) Calculate the power factor on no-load.