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''' Using the equation <math> e_2 = \frac{N_2}{N_1}e_1 </math> we get <br>
'''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,
<br/>
 
<div style="text-align:center">
<math> e_2 = \frac{N_2}{N_1}e_1 </math>.
</div>
 
<br/>
 
With the information above we can now determine the output voltage:
<br/>
 
<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 N1=10 turns and N2=2 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,

e2=N2N1e1.


With the information above we can now determine the output voltage:

e2=2101200=240V

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Figure 1: Model for an ideal transformer.
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Figure 2: Magnetic circuit of an ideal transformer.