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Four resistances of 3Ω, 3Ω, 3Ω and 4Ω respectively are used to form a Wheatstone bridge. The 4Ω resistance is short circuited with a resistance R in order to get bridge balanced. The value of R will be
  • a)
    10Ω
  • b)
    11Ω
  • c)
    12Ω
  • d)
    13Ω
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Four resistances of 3Ω, 3Ω, 3Ω and 4Ω respecti...
The bridge will be balanced when the shunted resistance is of the value of 3Ω
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Most Upvoted Answer
Four resistances of 3Ω, 3Ω, 3Ω and 4Ω respecti...
Assuming you mean four resistors each with a resistance of 3 ohms, you can calculate the total resistance when they are connected in series or in parallel.

1. Series Connection:
When resistors are connected in series, their resistances add up. So, if you have four resistors of 3 ohms each connected in series, the total resistance would be:

Total resistance = 3 ohms + 3 ohms + 3 ohms + 3 ohms = 12 ohms

2. Parallel Connection:
When resistors are connected in parallel, the total resistance can be calculated using the formula:

1/Total resistance = 1/R1 + 1/R2 + 1/R3 + 1/R4

In this case, since all resistors have the same resistance of 3 ohms:

1/Total resistance = 1/3 ohms + 1/3 ohms + 1/3 ohms + 1/3 ohms
1/Total resistance = 4/3 ohms

To find the total resistance, take the reciprocal of both sides:

Total resistance = 3/4 ohms = 0.75 ohms
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Four resistances of 3Ω, 3Ω, 3Ω and 4Ω respectively are used to form a Wheatstone bridge. The 4Ωresistance is short circuited with a resistance R in order to get bridge balanced. The value of R will bea)10Ωb)11Ωc)12Ωd)13ΩCorrect answer is option 'C'. Can you explain this answer?
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