In a Wheatstone bridge, if the ratio of resistances in one arm is 2:3 and in the other arm is 4:5, what can be said about the bridge?

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Q: In a Wheatstone bridge, if the ratio of resistances in one arm is 2:3 and in the other arm is 4:5, what can be said about the bridge?

Solution: The bridge is unbalanced because the ratios 2:3 and 4:5 are not equal.

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 two arms of the Wheatstone bridge. Each arm has a pair of resistors.
Step 3: Look at the first arm's resistance ratio, which is given as 2:3. This means if one resistor is 2 ohms, the other is 3 ohms.
Step 4: Look at the second arm's resistance ratio, which is given as 4:5. This means if one resistor is 4 ohms, the other is 5 ohms.
Step 5: Compare the two ratios. The first ratio (2:3) is not equal to the second ratio (4:5).
Step 6: Conclude that since the ratios are not equal, the Wheatstone bridge is unbalanced.