In a potentiometer experiment, if the balance point is found at 4 m with a known

Practice Questions

Q1
In a potentiometer experiment, if the balance point is found at 4 m with a known voltage of 12 V, what is the unknown voltage if the balance point for it is at 6 m?
  1. 8 V
  2. 9 V
  3. 18 V
  4. 24 V

Questions & Step-by-Step Solutions

In a potentiometer experiment, if the balance point is found at 4 m with a known voltage of 12 V, what is the unknown voltage if the balance point for it is at 6 m?
Correct Answer: 18 V
  • Step 1: Identify the known values from the problem. We have a known voltage (V1) of 12 V and a length (L1) of 4 m.
  • Step 2: Identify the unknown voltage (V2) and its corresponding length (L2), which is 6 m.
  • Step 3: Write down the formula that relates the voltages and lengths: V1/L1 = V2/L2.
  • Step 4: Substitute the known values into the formula: 12 V / 4 m = V2 / 6 m.
  • Step 5: To solve for V2, first cross-multiply: 12 V * 6 m = V2 * 4 m.
  • Step 6: Calculate the left side: 12 * 6 = 72, so we have 72 = V2 * 4.
  • Step 7: Now, divide both sides by 4 to isolate V2: V2 = 72 / 4.
  • Step 8: Calculate the final value: V2 = 18 V.
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