In a Wheatstone bridge, if all resistances are equal, what is the condition for balance?
Correct Answer: All resistances are equal, bridge is balanced.
- Step 1: Understand what a Wheatstone bridge is. It is a circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
- Step 2: Identify the components of the Wheatstone bridge. It has four resistors (R1, R2, R3, R4) and a voltage source.
- Step 3: Recognize that for the bridge to be balanced, the ratio of the resistances in one leg must equal the ratio in the other leg.
- Step 4: If all resistors (R1, R2, R3, R4) are equal, let's say each is R.
- Step 5: Write the ratios: R1/R2 = R3/R4. If R1 = R2 = R3 = R4 = R, then R/R = R/R, which simplifies to 1 = 1.
- Step 6: Conclude that when all resistances are equal, the bridge is balanced regardless of how they are connected.
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