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? | ||
'''Solution''' | '''Solution''' | ||
<math> e_2 = \frac{2}{10}1200 = 240V </math> | By modifying equation 5-39 (Mohan 5-22) we can obtain an equation for the output voltage. That is, | ||
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<math> e_2 = \frac{N_2}{N_1}e_1 </math>. | |||
</div> | |||
<br/> | |||
With the information above we can now determine the output voltage: | |||
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<div style="text-align:center"> | |||
<math> e_2 = \frac{2}{10}1200 = 240V </math> | |||
</div> | |||
<center> | <center> |
Revision as of 17:34, 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 above we can now determine the output voltage: