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.
