In the figure shown the thermal power generated in ' y ' is maximum when y = 4 Ω . Then X is:

Correct answer: B. 3 Ω

  • A. 2 Ω
  • B. 3 Ω
  • C. 1 Ω
  • D. 6 Ω

Explanation

The maximum power transfer theorem states that maximum power is transferred when the load resistance is equal to the source resistance. Given that the thermal power generated in 'y' is maximum when y = 4 Ω, it implies that the source resistance X should be 3 Ω in this configuration for the current to divide equally between X and y. Therefore, the correct answer is Option B: 3 Ω.Other options do not satisfy this condition: 2 Ω, 1 Ω, and 6 Ω would not result in maximum power transfer.

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About Current Electricity

Steady current relates charge flow to potential difference, resistance and resistivity, including how temperature changes a conductor's resistance. Sources with internal resistance have terminal voltage below their emf when delivering current, and maximum power output occurs under a specific load condition rather than at zero resistance.

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