If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what

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Question: If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what should R4 be for the bridge to be balanced?

Options:

Correct Answer: 15Ω

Solution:

Using the balance condition R1/R2 = R3/R4, we find R4 = (R2 * R3) / R1 = (20 * 15) / 10 = 30Ω.

If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what should R4 be for the bridge to be balanced?

If the resistances in a Wheatstone bridge are R1 = 10Ω, R2 = 20Ω, R3 = 15Ω, what should R4 be for the bridge to be balanced?

Correct Answer: 30Ω

Step 1: Write down the given resistances: R1 = 10Ω, R2 = 20Ω, R3 = 15Ω.
Step 2: Understand the balance condition for a Wheatstone bridge, which is R1/R2 = R3/R4.
Step 3: Rearrange the balance condition to solve for R4: R4 = (R2 * R3) / R1.
Step 4: Substitute the values into the equation: R4 = (20 * 15) / 10.
Step 5: Calculate the numerator: 20 * 15 = 300.
Step 6: Divide the result by R1: 300 / 10 = 30.
Step 7: Conclude that R4 should be 30Ω for the bridge to be balanced.

Wheatstone Bridge – A circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
Balance Condition – The condition for a Wheatstone bridge to be balanced, which states that the ratio of the resistances in one leg must equal the ratio in the other leg.
Ohm's Law – The fundamental relationship between voltage, current, and resistance in electrical circuits.