If R1 = 10Ω, R2 = 20Ω, and R3 = 30Ω in a Wheatstone bridge, what should R4 be fo

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Question: If R1 = 10Ω, R2 = 20Ω, and R3 = 30Ω in a Wheatstone bridge, what should R4 be for the bridge to be balanced?

Options:

Correct Answer: 20Ω

Solution:

For balance, R1/R2 = R3/R4, thus R4 = (R2 * R3) / R1 = (20 * 30) / 10 = 60Ω.

If R1 = 10Ω, R2 = 20Ω, and R3 = 30Ω in a Wheatstone bridge, what should R4 be for the bridge to be balanced?

If R1 = 10Ω, R2 = 20Ω, and R3 = 30Ω in a Wheatstone bridge, what should R4 be for the bridge to be balanced?

Step 1: Identify the resistances given in the problem: R1 = 10Ω, R2 = 20Ω, R3 = 30Ω.
Step 2: Write down the formula for a balanced Wheatstone bridge: R1/R2 = R3/R4.
Step 3: Rearrange the formula to solve for R4: R4 = (R2 * R3) / R1.
Step 4: Substitute the values of R2, R3, and R1 into the formula: R4 = (20 * 30) / 10.
Step 5: Calculate the multiplication: 20 * 30 = 600.
Step 6: Divide the result by R1: 600 / 10 = 60.
Step 7: Conclude that R4 should be 60Ω for the bridge to be balanced.

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