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Engineering and Tech / Power System Analysis and Design 5 / Chapter 3 / Problem 3.7

Power System Analysis and Design | 5th Edition | ISBN: 9781111425777 | Authors: J. Duncan Glover

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Consider a source of voltage vt_ _ 10 ffiffiffi2 p

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QUESTION:

Consider a source of voltage vt_ _ 10 ffiffiffi2 p sin2t_V, with an internal resistance of 1800 W. A transformer that can be considered as ideal is used to couple a 50-W resistive loadto the source. (a) Determine the transformer primary-to-secondary turns ratio required to ensure maximum power transfer by matching the load and source resistances.(b) Find the average power delivered to the load, assuming maximum power transfer

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QUESTION:

Consider a source of voltage vt_ _ 10 ffiffiffi2 p sin2t_V, with an internal resistance of 1800 W. A transformer that can be considered as ideal is used to couple a 50-W resistive loadto the source. (a) Determine the transformer primary-to-secondary turns ratio required to ensure maximum power transfer by matching the load and source resistances.(b) Find the average power delivered to the load, assuming maximum power transfer

ANSWER:

Step 1 of 3

(a) The voltage source internal resistance is .

The load resistance is .

The given supply voltage is ,

Hence,

Let and are the primary and secondary winding turns.

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