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Find the load resistance of the circuit shown in the figure such that the maximum power is transferred to the load resistance?

This question was previously asked in
MPPGCL JE Electrical 28 April 2023 Shift 1 Official Paper
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  1. 9 Ω 
  2. 15 Ω
  3. 12 Ω
  4. Ω

Answer (Detailed Solution Below)

Option 1 : 9 Ω 
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MPPGCL JE Electrical Full Test 1
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Detailed Solution

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Maximum Power Transfer Theorem

According to this theorem, maximum power is transferred to the load when the load resistance (RL) is equal to the Thevenin resistance (Rth) of the circuit as seen from the load terminals.

The power delivered to the load resistor (RL) is given by:

\(P_{max}={V_{th}^2\over 4R_{th}}\)

Calculation

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From the figure, 6Ω and 12Ω are in parallel.

\(R={6\times 12\over 6+12}=4Ω\)

4Ω, 3Ω and 2Ω are in series.

\(R_{ab}=4+3+2=9\Omega\)

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