In a Wheatstone bridge, if R1 = 20Ω, R2 = 30Ω, and R3 = 10Ω, what is the value o

Practice Questions

Q1
In a Wheatstone bridge, if R1 = 20Ω, R2 = 30Ω, and R3 = 10Ω, what is the value of R4 for balance?
  1. 15Ω
  2. 20Ω
  3. 25Ω
  4. 30Ω

Questions & Step-by-Step Solutions

In a Wheatstone bridge, if R1 = 20Ω, R2 = 30Ω, and R3 = 10Ω, what is the value of R4 for balance?
Correct Answer: 15Ω
  • Step 1: Write down the values of the resistors: R1 = 20Ω, R2 = 30Ω, R3 = 10Ω.
  • Step 2: Use the balance condition formula for a Wheatstone bridge: R1/R2 = R3/R4.
  • Step 3: Rearrange the formula to solve for R4: R4 = (R2 * R3) / R1.
  • Step 4: Substitute the values into the formula: R4 = (30 * 10) / 20.
  • Step 5: Calculate the multiplication: 30 * 10 = 300.
  • Step 6: Divide the result by R1: 300 / 20 = 15.
  • Step 7: Conclude that the value of R4 for balance is 15Ω.
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