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

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

Options:

Correct Answer: No

Solution:

The bridge is not balanced because 1/2 is not equal to 3/6.

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

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.

Wheatstone Bridge – A circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
Balanced Condition – The bridge is balanced when the ratio of the resistances in one leg is equal to the ratio in the other leg.