In a potentiometer experiment, if the balance point is found at 4 m with a 6 V battery, what is the voltage across a cell connected to the potentiometer?
Practice Questions
1 question
Q1
In a potentiometer experiment, if the balance point is found at 4 m with a 6 V battery, what is the voltage across a cell connected to the potentiometer?
2 V
3 V
4 V
6 V
Using the potential gradient, we can find the voltage across the cell. The potential gradient is 6 V / 10 m = 0.6 V/m. At 4 m, the voltage is 0.6 V/m * 4 m = 2.4 V, which rounds to 2 V.
Questions & Step-by-step Solutions
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Q
Q: In a potentiometer experiment, if the balance point is found at 4 m with a 6 V battery, what is the voltage across a cell connected to the potentiometer?
Solution: Using the potential gradient, we can find the voltage across the cell. The potential gradient is 6 V / 10 m = 0.6 V/m. At 4 m, the voltage is 0.6 V/m * 4 m = 2.4 V, which rounds to 2 V.
Steps: 7
Step 1: Understand that a potentiometer is used to measure voltage by finding a balance point.
Step 2: Note that the balance point is found at 4 meters with a 6 V battery.
Step 3: Calculate the potential gradient (voltage per meter) using the formula: Potential Gradient = Total Voltage / Total Length.
Step 4: Substitute the values: Potential Gradient = 6 V / 10 m = 0.6 V/m.
Step 5: To find the voltage across the cell at the 4 m mark, multiply the potential gradient by the distance: Voltage = Potential Gradient * Distance.
Step 6: Substitute the values: Voltage = 0.6 V/m * 4 m = 2.4 V.
Step 7: Round the result to the nearest whole number, which gives us 2 V.
