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in Physics by (64.8k points)

Find the maximum power in ‘RL’ which is variable in the circuit shown below in Fig..

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Apply Thevenin’s theorem. For this RL has to be detached from nodes A and B. Treat O as the reference node. 

VA = 60 V, VB = VC + 2 = 50 + 2 = 52 V 

Thus, VTH = VAB = 8 volts, with A positive w.r. to B, RTH = (60||40) + (50||50) = 49 ohms 

Hence, for maximum power, RL = 49 ohms 

With this RL, Current = 8/98 amp = 0.08163 amp 

Power to Load = i2 RL = 0.3265 watt

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