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What is the formula for the diameter of the circumscribing circle of the transformer?(a) diameter of the circumscribing circle = 2*square root of ratio of cross sectional area of the core to the space factor(b) diameter of the circumscribing circle = 3*square root of ratio of cross sectional area of the core to the space factor(c) diameter of the circumscribing circle = square root of ratio of cross sectional area of the core to the space factor(d) diameter of the circumscribing circle = 4*square root of ratio of cross sectional area of the core to the space factorI got this question in an online quiz.The doubt is from Overall Dimensions in chapter Design of Transformers of Design of Electrical Machines

Answer» RIGHT choice is (c) diameter of the circumscribing circle = square root of ratio of CROSS sectional area of the core to the SPACE factor

To elaborate: First the cross sectional area of the core is obtained by the formula cross sectional area = VOLTAGE per turn / 4.44 * frequency * magnetic FIELD. Next the space factor is obtained. Substituting in the formula provides the diameter of the circumscribing circle.


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