In a potentiometer setup, if the known voltage is 6V and the unknown voltage is balanced at 30 cm, what is the potential gradient if the total length of the wire is 120 cm?
Practice Questions
1 question
Q1
In a potentiometer setup, if the known voltage is 6V and the unknown voltage is balanced at 30 cm, what is the potential gradient if the total length of the wire is 120 cm?
2 V/m
1.5 V/m
3 V/m
4 V/m
The potential gradient is V/L = 6V/0.3m = 20 V/m, but since the total length is 1.2m, the gradient is 5 V/m.
Questions & Step-by-step Solutions
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Q
Q: In a potentiometer setup, if the known voltage is 6V and the unknown voltage is balanced at 30 cm, what is the potential gradient if the total length of the wire is 120 cm?
Solution: The potential gradient is V/L = 6V/0.3m = 20 V/m, but since the total length is 1.2m, the gradient is 5 V/m.
Steps: 10
Step 1: Identify the known voltage, which is 6V.
Step 2: Identify the length at which the unknown voltage is balanced, which is 30 cm.
Step 3: Convert the balanced length from cm to meters: 30 cm = 0.3 m.
Step 4: Calculate the potential gradient using the formula: Potential Gradient = Voltage / Length.
Step 5: Substitute the known values into the formula: Potential Gradient = 6V / 0.3m.
