Problem Set 1: Difference between revisions

From Class Wiki
Jump to navigation Jump to search
Jodi.Hodge (talk | contribs)
No edit summary
Jodi.Hodge (talk | contribs)
No edit summary
Line 3: Line 3:
----
----


Find the core inductance and resitence of a transformer using measurmnets Voc=5V, Ioc=3V, and Poc =10V.
Find the core inductance and resitence of a transformer using measurmnets Voc=5V, Ioc=3A, and Poc =10W.


----
----
Line 11: Line 11:
Power is found only through resister
Power is found only through resister


<math>P= </math>
<math>Poc= Voc^{2}/R</math>
 
Both Poc and Voc are giving so solve for R
 
<math>R=Voc^{2}/Poc=5V/10W=2.5 Ohms</math>
 
To calclate the core inductance we will use the formular for appearent power.
 
<math>S^{2}=P^{2}+Q^{2}</math>
 
<math>S^{2}=|Voc*Ioc^{*}|^{2}</math>
 
Subtituting in values  aand solving gives
<math>S^{2}=(5V*3A)^{2}=225(VA)^{2}</math>
 
<math>Q=\sqrt{P^{2}-Q^{2}}</math>
 
<math>{Z_{th}}=\frac{\frac{N_{1}}{N_{2}}{e_{2}}}{\frac{N_{2}}{N_{1}}{i_{2}}}</math>

Revision as of 09:46, 5 February 2010

Problem


Find the core inductance and resitence of a transformer using measurmnets Voc=5V, Ioc=3A, and Poc =10W.


Solution

Power is found only through resister

Poc=Voc2/R

Both Poc and Voc are giving so solve for R

R=Voc2/Poc=5V/10W=2.5Ohms

To calclate the core inductance we will use the formular for appearent power.

S2=P2+Q2

S2=|Voc*Ioc*|2

Subtituting in values aand solving gives S2=(5V*3A)2=225(VA)2

Q=P2Q2

Zth=N1N2e2N2N1i2