If the resistance values in a Wheatstone bridge are doubled, what happens to the balance condition?
Practice Questions
1 question
Q1
If the resistance values in a Wheatstone bridge are doubled, what happens to the balance condition?
It remains the same
It becomes unbalanced
It becomes easier to balance
It becomes impossible to balance
Doubling all resistance values does not affect the balance condition, as the ratios remain the same.
Questions & Step-by-step Solutions
1 item
Q
Q: If the resistance values in a Wheatstone bridge are doubled, what happens to the balance condition?
Solution: Doubling all resistance values does not affect the balance condition, as the ratios remain the same.
Steps: 6
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 balance condition of a Wheatstone bridge. The bridge is balanced when the ratio of the resistances in one leg is equal to the ratio in the other leg.
Step 3: Recognize that the balance condition can be expressed as R1/R2 = R3/R4, where R1 and R2 are resistances in one leg, and R3 and R4 are resistances in the other leg.
Step 4: If all resistance values (R1, R2, R3, R4) are doubled, the new ratios become (2R1)/(2R2) and (2R3)/(2R4).
Step 5: Simplify the new ratios. The 2's cancel out, leaving R1/R2 and R3/R4 unchanged.
Step 6: Conclude that since the ratios remain the same, the balance condition is still satisfied.
