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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?
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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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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
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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