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If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, and R
If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, and R4 = 7.5Ω, is the bridge balanced?
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Practice Questions
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Q1
If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, and R4 = 7.5Ω, is the bridge balanced?
Yes
No
Depends on the voltage
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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.
Questions & Step-by-step Solutions
1 item
Q
Q: If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 15Ω, R3 = 5Ω, and R4 = 7.5Ω, is the bridge balanced?
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.
Steps: 7
Show Steps
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.
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