In a Wheatstone bridge, if the resistances are 1Ω, 2Ω, 3Ω, and 6Ω, is the bridge

Practice Questions

Q1
In a Wheatstone bridge, if the resistances are 1Ω, 2Ω, 3Ω, and 6Ω, is the bridge balanced?
  1. Yes
  2. No
  3. Only if R4 is adjusted
  4. Only if R3 is adjusted

Questions & Step-by-Step Solutions

In a Wheatstone bridge, if the resistances are 1Ω, 2Ω, 3Ω, and 6Ω, is the bridge balanced?
  • Step 1: Identify the resistances in the Wheatstone bridge. They are 1Ω, 2Ω, 3Ω, and 6Ω.
  • Step 2: Label the resistances. Let's say R1 = 1Ω, R2 = 2Ω, R3 = 3Ω, and R4 = 6Ω.
  • Step 3: Check the condition for a balanced Wheatstone bridge. The bridge is balanced if R1/R2 = R3/R4.
  • Step 4: Calculate R1/R2. This is 1Ω / 2Ω = 1/2.
  • Step 5: Calculate R3/R4. This is 3Ω / 6Ω = 3/6, which simplifies to 1/2.
  • Step 6: Compare the two ratios. We have 1/2 (from R1/R2) and 1/2 (from R3/R4).
  • Step 7: Since both ratios are equal (1/2 = 1/2), the bridge is balanced.
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