If the value of one of the resistances in a Wheatstone bridge is doubled, what effect does it have on the balance condition?
Practice Questions
1 question
Q1
If the value of one of the resistances in a Wheatstone bridge is doubled, what effect does it have on the balance condition?
It remains balanced
It becomes unbalanced
It depends on other resistances
It cannot be determined
Doubling one resistance will change the ratio, thus making the bridge unbalanced.
Questions & Step-by-step Solutions
1 item
Q
Q: If the value of one of the resistances in a Wheatstone bridge is doubled, what effect does it have on the balance condition?
Solution: Doubling one resistance will change the ratio, thus making the bridge unbalanced.
Steps: 7
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.
