When using a potentiometer to measure an unknown voltage, the balance point is found at 4 m. If the known voltage is 12 V, what is the unknown voltage?
Practice Questions
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Q1
When using a potentiometer to measure an unknown voltage, the balance point is found at 4 m. If the known voltage is 12 V, what is the unknown voltage?
6 V
8 V
12 V
16 V
Using the formula Vx/Vk = Lx/Lk, we have Vx = Vk * (Lx/Lk). Here, Lx = 4 m, Lk = 10 m, Vk = 12 V, thus Vx = 12 V * (4/10) = 4.8 V.
Questions & Step-by-step Solutions
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Q
Q: When using a potentiometer to measure an unknown voltage, the balance point is found at 4 m. If the known voltage is 12 V, what is the unknown voltage?
Solution: Using the formula Vx/Vk = Lx/Lk, we have Vx = Vk * (Lx/Lk). Here, Lx = 4 m, Lk = 10 m, Vk = 12 V, thus Vx = 12 V * (4/10) = 4.8 V.
Steps: 9
Step 1: Identify the known voltage (Vk). In this case, Vk = 12 V.
Step 2: Identify the length at which the balance point is found (Lx). Here, Lx = 4 m.
Step 3: Identify the total length of the potentiometer (Lk). This is typically given or can be assumed; in this case, Lk = 10 m.
Step 4: Use the formula Vx/Vk = Lx/Lk to relate the unknown voltage (Vx) to the known voltage (Vk).
Step 5: Rearrange the formula to find Vx: Vx = Vk * (Lx/Lk).
Step 6: Substitute the known values into the formula: Vx = 12 V * (4 m / 10 m).
Step 7: Calculate the fraction: 4 m / 10 m = 0.4.
Step 8: Multiply the known voltage by the fraction: Vx = 12 V * 0.4 = 4.8 V.
Step 9: Conclude that the unknown voltage (Vx) is 4.8 V.
