Question

# In the circuit shown in figure, for what value of R will the power consumed by this resistance will be maximum.

A
40 Ω
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B
203 Ω
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C
107 Ω
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D
30 Ω
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Solution

## The correct option is B 203 ΩWe need to reduce this circuit to a battery and a single resistor. 6 Ω and 4 Ω resistance are in series Now , we can assume a cell of emf=0 V is connected with 20 Ω resistance. So this 0 V and 20 Vbattery are in parallel combination. Their equiavlent resisatnce, req=20×1020+10=203 Ω Let their equiavlent emf be V This can be further reduced to, Using maximum power transfer theorem. We can say that R should be equal to 203 Ω for maximum power transfer.

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