P 5.6-3 For the circuit in Figure P 5.6-3,

(a) find R such that the maximum power is dissipated in R, and

(b) calculate the value of the maximum power.

Answer:

Figure P 5.6-3

Do two source transformations and transform the circuit to

The two current sources add and become a 60 mA source and the 150 Ω and 100 Ω resistors can be added to make

So our circuit now looks like

(a) find R such that the maximum power is dissipated in R, and

Max power means R should be same as Rt so

(b) calculate the value of the maximum power.

Power can be found from

Since the current is evenly split as the resistors are the same, we can calculate power to be

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