A battery of emf epsilon and internal resistance r is connected across a pure resistance device (e.f. and electric heater or an electric bulb) of resistance R. Show that the power output of the device is maximum when there is a perfect 'mathcing' between the external resistance adn the source resistance (i.e., where R=r). Determine the maximum power outpur. Or State and prove the maximum power theorem. show that the effciency of a battery when delivering maximum power is only 50% (b) What is power output of the source abvoe if the battery is hosrted? what is the power dissipation inside the battery in that case?
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Answer:
Given : V=12 volts R=4Ω
Thus power dissipated P=
R
V
2
=
4
12
2
=36 W
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