If the value of one of the resistances in a Wheatstone bridge is doubled, what e

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Question: If the value of one of the resistances in a Wheatstone bridge is doubled, what effect does it have on the balance condition?

Options:

Correct Answer: It becomes unbalanced

Solution:

Doubling one resistance will change the ratio, thus making the bridge unbalanced.

If the value of one of the resistances in a Wheatstone bridge is doubled, what effect does it have on the balance condition?

If the value of one of the resistances in a Wheatstone bridge is doubled, what effect does it have on the balance condition?

Step 1: Understand what a Wheatstone bridge is. It is a circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
Step 2: Identify the resistances in the Wheatstone bridge. There are four resistances: R1, R2, R3, and R4.
Step 3: Know the balance condition of the Wheatstone bridge. The bridge is balanced when the ratio of R1 to R2 is equal to the ratio of R3 to R4 (R1/R2 = R3/R4).
Step 4: Consider what happens when one resistance (let's say R1) is doubled. Now R1 becomes 2R1.
Step 5: Calculate the new ratio. The new ratio is (2R1)/R2 compared to R3/R4.
Step 6: Since R1 is doubled, the left side of the equation (2R1/R2) will not equal the right side (R3/R4) anymore, making the bridge unbalanced.
Step 7: Conclude that doubling one resistance changes the ratio and causes the Wheatstone bridge to become unbalanced.

Wheatstone Bridge Balance Condition – The balance condition of a Wheatstone bridge is determined by the ratio of the resistances in the two branches. If one resistance is changed, the ratio is altered, affecting the balance.