If the resistances in a Wheatstone bridge are 10Ω, 20Ω, 30Ω, and 60Ω, what is th

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Question: If the resistances in a Wheatstone bridge are 10Ω, 20Ω, 30Ω, and 60Ω, what is the value of the unknown resistance?

Options:

Correct Answer: 25Ω

Solution:

Using the formula R1/R2 = R3/R4, we find that R4 = (R2 * R3) / R1 = (20 * 30) / 10 = 60Ω.

If the resistances in a Wheatstone bridge are 10Ω, 20Ω, 30Ω, and 60Ω, what is the value of the unknown resistance?

If the resistances in a Wheatstone bridge are 10Ω, 20Ω, 30Ω, and 60Ω, what is the value of the unknown resistance?

Step 1: Identify the resistances in the Wheatstone bridge. We have R1 = 10Ω, R2 = 20Ω, R3 = 30Ω, and R4 is the unknown resistance.
Step 2: Write down the formula for a Wheatstone bridge, which is R1/R2 = R3/R4.
Step 3: Substitute the known values into the formula: 10Ω / 20Ω = 30Ω / R4.
Step 4: Cross-multiply to solve for R4: 10Ω * R4 = 20Ω * 30Ω.
Step 5: Calculate the right side: 20 * 30 = 600.
Step 6: Now we have: 10Ω * R4 = 600.
Step 7: Divide both sides by 10Ω to find R4: R4 = 600 / 10 = 60Ω.

Wheatstone Bridge – A circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
Resistance Ratios – Understanding the relationship between resistances in a Wheatstone bridge to find unknown values.