Problem Set 1: Difference between revisions
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Find the core inductance and resitence of a transformer using measurmnets Voc=5V, Ioc= | Find the core inductance and resitence of a transformer using measurmnets Voc=5V, Ioc=3A, and Poc =10W. | ||
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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
Both Poc and Voc are giving so solve for R
To calclate the core inductance we will use the formular for appearent power.
Subtituting in values aand solving gives