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In the circuit shown the resistance R is kept in a chamber whose temperature. is 20^(@)C which remains constant. The initial temperature and resistance of R is 50^(@)C and 15 Omegarespectively. The rate of change of resistance R with temperature is (1)/(2)Omega//^(@)C and the rate of decrease of temperature of R is In(3//100) times the temperature difference from the surrounding (Assume the resistance R loses heat only in accordance with Newton's law of cooling) If K is closed at t = 0, then find the (a) value of. R for which power dissipation in it is maximum. (b) temperature of R when power dissipation is maximum (c) time after which the power dissipation will be maximum |
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Answer» Solution :(a) `50OMEGA` (b) `30^(@)C` (c) `100 SEC` |
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