539. Problem 39.29 (RHK) We have to show that in the circuit shown in the figure the power dissipated in the resistance R is maximum when , in which r is the internal resistance of the AC generator. |
Solution: Click For PDF Version Let the emf of the AC-generator be . As the total resistance in the resistance in the circuit is , the current in the circuit will be The average power dissipated in the circuit will be The function will have an extremum at R for which This condition gives By calculating , we will show that it is <0, and therefore is a maximum. The power dissipation is maximum when the external load is equal to the load of the generator.
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