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The Wheatstone bridge is balanced for four resistors R1,R2,R3 and R4 with a cell of emf 1.46 V. The cell is now replaced by another cell of emf 1.08 V. To obtain the balance again

  • a)
    All the four resistance should be changed

  • b)
    Both the resistance R1 and R4 should be changed

  • c)
    No resistance needs to be changed

  • d)
    Resistance R4 should be changed only

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The Wheatstone bridge is balanced for four resistors R1,R2,R3 and R4 w...
The balance point of the Wheatstone’s bridge is determined by the ratio of the resistances. The change in the emf of the external battery will have no effect on the balance point.

 


Explanation:




  • Initial Balanced Wheatstone Bridge: In the initial balanced Wheatstone bridge configuration, the emf of the cell is 1.46 V and all four resistors R1, R2, R3, and R4 are set to specific values to achieve balance.



  • Replacement of Cell: When the cell is replaced by another cell with an emf of 1.08 V, the balance of the Wheatstone bridge is disrupted.



  • Requirement for Rebalancing: In order to rebalance the Wheatstone bridge with the new cell of emf 1.08 V, no resistance needs to be changed.



  • Reasoning: The balance of the Wheatstone bridge is determined by the ratio of the resistances in the bridge arms and not by the absolute values of the resistances. As long as the ratio of the resistances remains the same, the balance will be maintained regardless of the emf of the cell.



  • Conclusion: Therefore, in this scenario, no resistance needs to be changed to obtain the balance again with the new cell of emf 1.08 V.





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Most Upvoted Answer
The Wheatstone bridge is balanced for four resistors R1,R2,R3 and R4 w...
Explanation:

The Wheatstone bridge is a circuit used to measure an unknown resistance by balancing two legs of a bridge circuit, one with the unknown resistance and the other with a known resistance. The condition for balance in a Wheatstone bridge is that the ratio of the two resistances in one leg of the bridge should be equal to the ratio of the two resistances in the other leg.

Given that the Wheatstone bridge is balanced for four resistors R1, R2, R3, and R4 with a cell of emf 1.46 V. This means that the resistance ratio of R1/R2 is equal to the resistance ratio of R3/R4, such that:

R1/R2 = R3/R4

Now, the cell is replaced by another cell of emf 1.08 V. To obtain the balance again, we need to find out whether any resistance needs to be changed or not.

Option (a): All the four resistance should be changed. This option is not correct because the balance condition depends only on the ratio of the resistances and not on their absolute values.

Option (b): Both the resistance R1 and R4 should be changed. This option is also not correct because changing only two resistances will change the resistance ratio of one leg of the bridge, but the resistance ratio of the other leg will remain the same.

Option (c): No resistance needs to be changed. This option is correct because the balance condition depends only on the ratio of the resistances and not on their absolute values. As the resistance ratio of R1/R2 is equal to the resistance ratio of R3/R4, the balance condition will still hold even if the cell is replaced by another cell with a different emf.

Option (d): Resistance R4 should be changed only. This option is not correct because changing only one resistance will change the resistance ratio of one leg of the bridge, but the resistance ratio of the other leg will remain the same.

Conclusion:

Hence, the correct answer is option (c) - No resistance needs to be changed.
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Community Answer
The Wheatstone bridge is balanced for four resistors R1,R2,R3 and R4 w...
If two voltage divider have exactly the same ratio,the bridge is balanced. Whether the emf is changed,the ratio of the voltage dividers is still equal, so the bridge is still balanced.(because they are supplied by the same input)
R1/R2=R3/R4
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The Wheatstone bridge is balanced for four resistors R1,R2,R3 and R4 with a cell of emf 1.46 V. The cell is now replaced by another cell of emf 1.08 V. To obtain the balance againa)All the four resistance should be changedb)Both the resistance R1 and R4 should be changedc)No resistance needs to be changedd)Resistance R4 should be changed onlyCorrect answer is option 'C'. Can you explain this answer?
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The Wheatstone bridge is balanced for four resistors R1,R2,R3 and R4 with a cell of emf 1.46 V. The cell is now replaced by another cell of emf 1.08 V. To obtain the balance againa)All the four resistance should be changedb)Both the resistance R1 and R4 should be changedc)No resistance needs to be changedd)Resistance R4 should be changed onlyCorrect answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The Wheatstone bridge is balanced for four resistors R1,R2,R3 and R4 with a cell of emf 1.46 V. The cell is now replaced by another cell of emf 1.08 V. To obtain the balance againa)All the four resistance should be changedb)Both the resistance R1 and R4 should be changedc)No resistance needs to be changedd)Resistance R4 should be changed onlyCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Wheatstone bridge is balanced for four resistors R1,R2,R3 and R4 with a cell of emf 1.46 V. The cell is now replaced by another cell of emf 1.08 V. To obtain the balance againa)All the four resistance should be changedb)Both the resistance R1 and R4 should be changedc)No resistance needs to be changedd)Resistance R4 should be changed onlyCorrect answer is option 'C'. Can you explain this answer?.
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