Example Problems with Transformers: Difference between revisions
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'''Problem 1.''' An ''ideal'' step down transformer has a winding of <math> N_1 = 10 \text{ turns and } N_2 = 2 </math> turns. If the input voltage is 1200V, what is the resulting output voltage? | '''Problem 1.''' An ''ideal'' step down transformer has a winding of <math> N_1 = 10 \text{ turns and } N_2 = 2 </math> turns. If the input voltage is 1200V, what is the resulting output voltage? | ||
<center> | |||
{| | |||
|[[Image:IdealTransformer1-nka.jpg|thumb|center|upright=2|Figure 1: Model for an ideal transformer.]] | |||
|[[Image:IdealTransformer2-nka.jpg|thumb|center|upright=2|Figure 2: Magnetic circuit of an ideal transformer.]] | |||
|} | |||
</center> | |||
'''Solution''' | '''Solution''' | ||
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<math> e_2 = \frac{N_2}{N_1}e_1 </math>. | <math> e_2 = \left( \frac{N_2}{N_1} \right) e_1 </math>. | ||
</div> | </div> | ||
<br/> | <br/> | ||
With the information | With the information provided we can now determine the output voltage: | ||
<br/> | <br/> | ||
<div style="text-align:center"> | <div style="text-align:center"> | ||
<math> e_2 = \frac{2}{10} | <math> e_2 = \left( \frac{N_2}{N_1} \right) e_1 = \left( \frac{2}{10} \right) 1200V = 240V </math> | ||
</div> | </div> | ||
Revision as of 17:37, 26 January 2010
Problems 1-3
Kevin Starkey, Nick Christman, Aric Vyhmeister
Problem 1. An ideal step down transformer has a winding of turns. If the input voltage is 1200V, what is the resulting output voltage?
Solution
By modifying equation 5-39 (Mohan 5-22) we can obtain an equation for the output voltage. That is,
.
With the information provided we can now determine the output voltage: