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Find the equivalent capacitance (in 𝜇𝐹) of the following network of capacitors between points A and B.(All the values of capacitances in the figure are in 𝜇𝐹)

Question

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Solution

To find the equivalent capacitance of a network of capacitors, I will break down the problem and provide a solution according to the requirements.

1. Break Down the Problem

Identify the arrangement of capacitors between points A and B. Determine whether they are in series or parallel configurations.

2. Relevant Concepts

  • Capacitors in Series: The equivalent capacitance Ceq C_{eq} is given by 1Ceq=1C1+1C2++1Cn \frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_2} + \ldots + \frac{1}{C_n}

  • Capacitors in Parallel: The equivalent capacitance Ceq C_{eq} is given by Ceq=C1+C2++Cn C_{eq} = C_1 + C_2 + \ldots + C_n

3. Analysis and Detail

  • Begin by identifying the specific combination of capacitors and their values from the provided figure.
  • Apply the appropriate formula based on whether the capacitors in that section are in series or parallel.
  • If there are multiple groups of capacitors, calculate the equivalent capacitance for each group before combining them.

4. Verify and Summarize

  • Check calculations step by step to ensure accuracy.
  • Summarize the findings as necessary.

Final Answer

Once the calculations are performed, the equivalent capacitance between points A and B can be expressed in microfarads (𝜇F).

Please provide the specific values and arrangements as shown in your figure for detailed calculations and final answer.

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