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In a Wheatstone bridge, if R1 = 20Ω, R2 = 30Ω, and R3 = 10Ω, what is the value o
In a Wheatstone bridge, if R1 = 20Ω, R2 = 30Ω, and R3 = 10Ω, what is the value of R4 for the bridge to be balanced?
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Practice Questions
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Q1
In a Wheatstone bridge, if R1 = 20Ω, R2 = 30Ω, and R3 = 10Ω, what is the value of R4 for the bridge to be balanced?
15Ω
20Ω
25Ω
30Ω
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Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (30 * 10) / 20 = 15Ω.
Questions & Step-by-step Solutions
1 item
Q
Q: In a Wheatstone bridge, if R1 = 20Ω, R2 = 30Ω, and R3 = 10Ω, what is the value of R4 for the bridge to be balanced?
Solution:
Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (30 * 10) / 20 = 15Ω.
Steps: 7
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Step 1: Understand the Wheatstone bridge balance condition, which states that R1/R2 = R3/R4.
Step 2: Identify the values given: R1 = 20Ω, R2 = 30Ω, and R3 = 10Ω.
Step 3: Rearrange the balance condition formula to solve for R4: R4 = (R2 * R3) / R1.
Step 4: Substitute the values into the formula: R4 = (30 * 10) / 20.
Step 5: Calculate the numerator: 30 * 10 = 300.
Step 6: Divide the result by R1: 300 / 20 = 15.
Step 7: Conclude that the value of R4 for the bridge to be balanced is 15Ω.
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