In a Wheatstone bridge, if the ratio of resistances in one arm is 2:3 and in the other arm is 4:5, what is the condition for the bridge to be balanced?
Practice Questions
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Q1
In a Wheatstone bridge, if the ratio of resistances in one arm is 2:3 and in the other arm is 4:5, what is the condition for the bridge to be balanced?
2/3 = 4/5
2/3 = 5/4
3/2 = 5/4
3/2 = 4/5
For the bridge to be balanced, the ratios must be equal. Thus, 2/3 should equal 4/5, which is not true.
Questions & Step-by-step Solutions
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Q
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 is the condition for the bridge to be balanced?
Solution: For the bridge to be balanced, the ratios must be equal. Thus, 2/3 should equal 4/5, which is not true.
Steps: 8
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: In the first arm, the ratio of resistances is given as 2:3. This means if one resistor is 2 ohms, the other is 3 ohms.
Step 4: In the second arm, the ratio of resistances is given as 4:5. This means if one resistor is 4 ohms, the other is 5 ohms.
Step 5: For the Wheatstone bridge to be balanced, the ratios of the resistances in both arms must be equal.
Step 6: Set up the equation: 2/3 (from the first arm) should equal 4/5 (from the second arm).
Step 7: Check if 2/3 equals 4/5. Calculate both fractions: 2/3 = 0.6667 and 4/5 = 0.8.
Step 8: Since 0.6667 is not equal to 0.8, the condition for the bridge to be balanced is not met.
