TRANSFORMERS - TX 1 TRANSFORMERS PRIMARY WINDING SECONDARY...

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TX 1 TRANSFORMERS IRON CORE TRANSFORMER In an ideal transformer : V V N N a 1 2 1 2 = = , I I a 2 1 = , V I V I 1 1 2 2 = One current reference has to be into a dotted terminal, and the other current reference has to be out of a dotted terminal. V 1 _ _ + + IRON CORE I 1 I 2 SECONDARY WINDING PRIMARY WINDING V 2 N 1 TURNS N 2 TURNS I 2 V 2 + _ I 1 V 1 + _
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TX 2 Example 1 The ratio of a primary to secondary turns (a) of an iron-core transformer is five. A 120 resistor is connected across the secondary winding. Find the resistor voltage when the primary current is 0.5 A (rms). Ideally: I I N N I A A 2 1 1 2 1 5 5 0 5 2 5 = = = × = . . V I V rms R = = 2 120 300 ( ) ( ) , V V V rms R 1 5 1500 = = ( ) Practically: V I V I efficiency 2 2 1 1 = × ( ) , I 2 & V R might be lower. Example 2 A 120 V (rms) AC source is connected to the primary winding of the transformer in the previous example. Determine the primary current I 1 and the voltage across the 120 resistor. Assume ideal conditions. 120 I 2 _ + V R 5:1 I 1 V 1 + _ 120 I 2 _ + v R 5:1 I 1 120 V RMS + _
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TX 3 V V V a V R = = = = 2 1 120 5 24 I V R A 2 2 24 120
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TRANSFORMERS - TX 1 TRANSFORMERS PRIMARY WINDING SECONDARY...

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