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The diagram above shows the capacitors C1 C2 an... - JAMB Physics 2001 Question

The diagram above shows the capacitors C1, C2 and C3 2μF, 6μF and 3μF respectively. The potential difference across C1, C2 and C3 respectively are
A
4V, 6V and 2V
B
2V, 6V and 4V
C
6V, 4V and 2V
D
6V, 2V and 4V
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Correct Option: D

Here's how to solve this problem:

  1. Identify Series and Parallel Combinations: C2 and C3 are in parallel, and the equivalent capacitance of this parallel combination is in series with C1.

  2. Calculate the equivalent capacitance of the parallel combination (C2 and C3): C23 = C2 + C3 = 6 μF + 3 μF = 9 μF

  3. Calculate the equivalent capacitance of the entire circuit: First we need to calculate the equivalent capacitance of the series combination of C1 and C23

    1/C_eq = 1/C1 + 1/C23 1/C_eq = 1/2 + 1/9

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