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?
Practice Questions
1 question
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?
8 V
9 V
18 V
24 V
Using the formula V1/L1 = V2/L2, we have 12 V / 4 m = V2 / 6 m. Solving gives V2 = 18 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 known voltage of 12 V, what is the unknown voltage if the balance point for it is at 6 m?
Solution: Using the formula V1/L1 = V2/L2, we have 12 V / 4 m = V2 / 6 m. Solving gives V2 = 18 V.
Steps: 8
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.
