In a Wheatstone bridge, if the ratio of resistances P and Q is 2:3 and the ratio

In a Wheatstone bridge, if the ratio of resistances P and Q is 2:3 and the ratio of resistances R and S is 4:5, what can be said about the bridge?

In a Wheatstone bridge, if the ratio of resistances P and Q is 2:3 and the ratio of resistances R and S is 4:5, what can be said about the bridge?

Step 1: Understand that a Wheatstone bridge is used to measure unknown resistances by balancing two legs of a circuit.
Step 2: Identify the given ratios of resistances: P to Q is 2:3 and R to S is 4:5.
Step 3: Write the ratios in fraction form: P/Q = 2/3 and R/S = 4/5.
Step 4: Check if the two ratios are equal by cross-multiplying: 2/3 and 4/5 means we check if 2 * 5 equals 3 * 4.
Step 5: Calculate: 2 * 5 = 10 and 3 * 4 = 12. Since 10 is not equal to 12, the ratios do not match.
Step 6: Conclude that since the ratios of the resistances do not match, the Wheatstone bridge is unbalanced.

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