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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. 1.5Ω
  2. 2Ω
  3. 3Ω
  4. 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.
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