A benchtop dc power supply acts as an ideal 4 A current source as long as its terminal voltage is below 10 V. Beyond this point, it begins to behave as an ideal 10 V voltage source for all load currents going down to 0 A. When connected to an ideal rheostat, find the load resistance value at which maximum power is transferred, and the corresponding load voltage and current.
2.5 Ω, 4 A, 10 V
For R ≤2.5 Ω, the source holds4 A and load power16R increases with R. For R ≥2.5 Ω, it holds10 V and power100/R decreases with R. Thus maximum40 W occurs at R =2.5 Ω,I =4 A,V =10 V.
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