The total capacitance when capacitors are arranged in parallel is?

• A. Equal to the least capacitance value
• B. Equal to the sum of individual capacitances
• C. Constant regardless of configuration
• D. Equal to the product of individual capacitances

Answer: (B)

The total capacitance when capacitors are arranged in parallel is equal to the sum of the individual capacitances. This is due to the way capacitors in parallel share the same voltage across their terminals. In a parallel arrangement, each capacitor contributes its capacitance directly to the total capacitance without any interaction or reduction in effect.

Mathematically, if you have capacitors with capacitances (C_1, C_2, \ldots, C_n), the total capacitance (C_{total}) is given by:

[ C_{total} = C_1 + C_2 + \ldots + C_n ]

This principle allows for increased total capacitance, making parallel configurations useful in applications where a higher capacitance is required. This contrasts with series connections, where the total capacitance is less than that of the smallest individual capacitor.

Understanding this fundamental principle of parallel capacitance is key for various applications in electronics, ensuring that circuits can be designed effectively to meet the desired specifications.