If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, and R

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Question: If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, and R4 = 7.5Ω, is the bridge balanced?

Options:

Correct Answer: Yes

Solution:

The bridge is balanced if R1/R2 = R3/R4. Here, 10/15 = 5/7.5, which simplifies to 2/3 = 2/3, confirming the bridge is balanced.

If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, and R4 = 7.5Ω, is the bridge balanced?

If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, and R4 = 7.5Ω, is the bridge balanced?

Correct Answer: Yes, the bridge is balanced.

Step 1: Identify the resistances in the Wheatstone bridge. We have R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, and R4 = 7.5Ω.
Step 2: Write down the formula to check if the bridge is balanced. The bridge is balanced if R1/R2 = R3/R4.
Step 3: Calculate R1/R2. This is 10Ω / 15Ω.
Step 4: Simplify 10/15. This simplifies to 2/3.
Step 5: Calculate R3/R4. This is 5Ω / 7.5Ω.
Step 6: Simplify 5/7.5. This also simplifies to 2/3.
Step 7: Compare the two results. Since 2/3 = 2/3, the bridge is balanced.

Wheatstone Bridge Balance Condition – The Wheatstone bridge is balanced when the ratio of the resistances in one branch equals the ratio in the other branch, specifically R1/R2 = R3/R4.