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Plasma as the fourth phase of matter is superheated gas on the order of being heated to millions or billions (forget) degrees (once again forget) farenheit or celsius. Thus, the "plasma" inside the TV is not real plasma as in the fourth phase of matter or it would be vaporized. Stars are plasma.
Bill Nye here again.....people often get confused about plasmas. They think of them as the stuff in stars, which they are, but they also are in a lot of common day processes here on Earth. The definition of a plasma is a collection of positively and negatively charged particles. The plasmas in outer space require very high temperatures to maintain the plasma (to continue the creation of positively and negatively charged particles). This is because of the volume of the plasma. In general, the larger the volume of the plasma, the more energy required to maintain it.
Here on Earth, we have "confined" plasmas to small volumes. Because of this, we can maintain them with much lower temperatures. Additionally, our form of the power used to create and maintain the plasma is an electric voltage which has a lower temperature. In outer space, it is a radioactive process which produces much higher temperatures.
Mind you, we do have processes here on Earth that rival those of the stars. Nuclear weapons and fusion reactors can exceed some of the temperatures seen in outer space. In these cases, we have confined more particles to a smaller space (another determinant of the temperature) and more reactions result.
An excellent, albeit brief description of plasmas is found here:
http://www.plasmas.org/rot-plasmas.htm