Question: In a Wheatstone bridge, if R1 = 1Ω, R2 = 2Ω, and R3 = 3Ω, what is the value of R4 for the bridge to be balanced?
Options:
1.5Ω
2Ω
3Ω
4Ω
Correct Answer: 4Ω
Solution:
Using the balance condition R1/R2 = R3/R4, we have 1/2 = 3/R4. Solving gives R4 = 6Ω.
In a Wheatstone bridge, if R1 = 1Ω, R2 = 2Ω, and R3 = 3Ω, what is the value of R
Practice Questions
Q1
In a Wheatstone bridge, if R1 = 1Ω, R2 = 2Ω, and R3 = 3Ω, what is the value of R4 for the bridge to be balanced?
1.5Ω
2Ω
3Ω
4Ω
Questions & Step-by-Step Solutions
In a Wheatstone bridge, if R1 = 1Ω, R2 = 2Ω, and R3 = 3Ω, what is the value of R4 for the bridge to be balanced?
Correct Answer: 6Ω
Step 1: Write down the balance condition for a Wheatstone bridge, which is R1/R2 = R3/R4.
Step 2: Substitute the given values into the equation: R1 = 1Ω, R2 = 2Ω, R3 = 3Ω.
Step 3: The equation now looks like this: 1/2 = 3/R4.
Step 4: To solve for R4, cross-multiply: 1 * R4 = 2 * 3.
Step 5: This simplifies to R4 = 6Ω.
Wheatstone Bridge – A circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
Balance Condition – The condition for a Wheatstone bridge to be balanced, which states that the ratio of the resistances in one leg must equal the ratio in the other leg.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
