In a balanced Wheatstone bridge, what is the relationship between the resistance

Practice Questions

Q1
In a balanced Wheatstone bridge, what is the relationship between the resistances R1, R2, R3, and R4?
  1. R1/R2 = R3/R4
  2. R1 + R2 = R3 + R4
  3. R1 * R4 = R2 * R3
  4. R1 - R2 = R3 - R4

Questions & Step-by-Step Solutions

In a balanced Wheatstone bridge, what is the relationship between the resistances R1, R2, R3, and R4?
  • Step 1: Understand that a Wheatstone bridge has four resistors arranged in a diamond shape.
  • Step 2: Identify the resistors: R1 and R2 are in one arm, and R3 and R4 are in the other arm.
  • Step 3: Know that the bridge is balanced when there is no current flowing through the middle (the galvanometer).
  • Step 4: In a balanced state, the ratio of the resistances in one arm (R1 and R2) must equal the ratio in the other arm (R3 and R4).
  • Step 5: Write the relationship as a formula: R1/R2 = R3/R4.
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