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A battery of e.m.f. 10 V and internal resistance 0.5 ohm is connected across a variable resistance R. The value of R for which the power delivered in it is maximum is given by
  • a)
    2.0 ohm
  • b)
    0.25 ohm
  • c)
    1.0 ohm
  • d)
    0.5 ohm
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A battery of e.m.f. 10 V and internal resistance 0.5 ohm is connected ...
Solution:

To find the value of R for which the power delivered in it is maximum, we need to use the concept of maximum power transfer theorem.

The maximum power transfer theorem states that the power delivered to a load resistance is maximum when the load resistance is equal to the internal resistance of the source.

In this case, the source is a battery of e.m.f. 10 V and internal resistance 0.5 ohm.

So, the value of R for which the power delivered in it is maximum is equal to the internal resistance of the source, which is 0.5 ohm.

Therefore, the correct answer is option 'D'.

Conclusion:

The maximum power transfer theorem is an important concept in electrical engineering. It helps in determining the load resistance for maximum power transfer from the source to the load. In this case, the value of R for which the power delivered in it is maximum is equal to the internal resistance of the source, which is 0.5 ohm.
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A battery of e.m.f. 10 V and internal resistance 0.5 ohm is connected ...
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A battery of e.m.f. 10 V and internal resistance 0.5 ohm is connected across a variable resistance R. The value of R for which the power delivered in it is maximum is given bya)2.0 ohmb)0.25 ohmc)1.0 ohmd)0.5 ohmCorrect answer is option 'D'. Can you explain this answer?
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