A black box with a circuit in it is connected to a variable resistor. An ideal ammeter and an ideal voltmeter are used to measure current and voltage as shown.
R (Ω)
V(Volt)
i(Amp.)
3
3
1.5
8
8
1.0
14
10.5
0.75
The maximum power that box can deliver is
A
8.5 W
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B
8.1 W
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C
8 W
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D
7.9 W
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Solution
The correct option is B 8.1 W
Let us draw thevenin equivalent of black box
VTH=iRTH+V (applying KVL)
Using given data VTH=1.5RTH+3...(i) VTH=1.0RTH+8...(ii)
From (i) and (ii) VTH=18V RTH=10Ω