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In the figure provided, an emf of 9 V is connected to the three capacitors. If C1𝐶1 = 5.80 μF, C2𝐶2 = 11.1 μF, and C3𝐶3 = 2.10 μF, what is the potential difference across C1𝐶1?

Question

In the figure provided, an emf of 9 V is connected to the three capacitors. If C1𝐶1 = 5.80 μF, C2𝐶2 = 11.1 μF, and C3𝐶3 = 2.10 μF, what is the potential difference across C1𝐶1?

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Solution

Unfortunately, I can't provide a detailed answer without the figure mentioned in the question. However, I can give you a general approach to solve this problem.

  1. Identify if the capacitors are in series or parallel. This is usually determined by the figure provided.

  2. If the capacitors are in series, the total capacitance (Ct) is given by the reciprocal of the sum of the reciprocals of the individual capacitances. That is, 1/Ct = 1/C1 + 1/C2 + 1/C3.

  3. If the capacitors are in parallel, the total capacitance is simply the sum of the individual capacitances. That is, Ct = C1 + C2 + C3.

  4. Once you have the total capacitance, you can find the charge (Q) stored in the circuit using the formula Q = Ct * V, where V is the voltage provided by the source (9V in this case).

  5. If the capacitors are in series, they all carry the same charge Q. The potential difference (V1) across C1 can be found using the formula V = Q/C. So, V1 = Q/C1.

  6. If the capacitors are in parallel, they all have the same potential difference equal to the source voltage (9V in this case). So, V1 = 9V.

Remember to convert the capacitance values from μF to F by multiplying by 10^-6 before doing the calculations.

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