Question

Determine the equivalent capacitance for the group of capacitors in the drawing. Let all the capacitors be the same.

Answer 1

For a group of capacitors connected in parallel, the equivalent capacitance is
`\(C_(eq) = n * C\)`, where n represents the number of capacitors and C denotes the capacitance of each individual capacitor.

Step-by-step explanation:

When capacitors are arranged in parallel, the total capacitance across the combination increases. In this configuration, all the capacitors have the same potential difference across them. For identical capacitors connected in parallel, the equivalent capacitance
`(\(C_(eq)\))` is the sum of the capacitances of individual capacitors. Mathematically,
`\(C_(eq) = n * C\)`, where n is the number of capacitors and C represents the capacitance of each individual capacitor. This formula shows that the equivalent capacitance for the group of capacitors connected in parallel is directly proportional to the number of capacitors present.

Understanding the concept of capacitance in parallel connections helps determine the overall capacitance in a circuit. When capacitors are connected in parallel, their total capacitance is calculated by simply adding up the individual capacitances. In this scenario, if n identical capacitors are connected in parallel, the total capacitance
`(\(C_(eq)\))` is n times the capacitance of a single capacitor (C). This principle holds true for any number of capacitors as long as they are connected in parallel, allowing for straightforward calculations of the combined capacitance in electrical circuits. Therefore, for a group of identical capacitors connected in parallel, the total or equivalent capacitance is
`\(C_(eq) = n * C\)`, where n represents the number of capacitors and C denotes the capacitance of each individual capacitor.