In a balanced Wheatstone bridge, what is the relationship between the resistance

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Question: In a balanced Wheatstone bridge, what is the relationship between the resistances R1, R2, R3, and R4?

Options:

Correct Answer: R1/R2 = R3/R4

Solution:

In a balanced Wheatstone bridge, the ratio of the resistances in one arm equals the ratio in the other arm, hence R1/R2 = R3/R4.

In a balanced Wheatstone bridge, what is the relationship between the resistances R1, R2, R3, and R4?

In a balanced Wheatstone bridge, what is the relationship between the resistances R1, R2, R3, and R4?

Step 1: Understand that a Wheatstone bridge has four resistors arranged in a diamond shape.
Step 2: Identify the resistors: R1 and R2 are in one arm, and R3 and R4 are in the other arm.
Step 3: Know that the bridge is balanced when there is no current flowing through the middle (the galvanometer).
Step 4: In a balanced state, the ratio of the resistances in one arm (R1 and R2) must equal the ratio in the other arm (R3 and R4).
Step 5: Write the relationship as a formula: R1/R2 = R3/R4.

Wheatstone Bridge – A circuit used to measure unknown resistances by balancing two legs of a bridge circuit.
Resistance Ratios – In a balanced state, the ratio of resistances in one arm of the bridge equals the ratio in the other arm.