What equation gives the equivalent capacitance for capacitors connected in parallel?

What equation gives the equivalent capacitance for capacitors connected in parallel?

• A. Ceq = 1/[(1/C1) + (1/C2) + ... + (1/Cn)]
• B. Ceq = C1 + C2 + ... + Cn
• C. Ceq = (C1 * C2) / (C1 + C2)
• D. Ceq = C1 * C2 * ... * Cn

Answer: (B)

The equation that gives the equivalent capacitance for capacitors connected in parallel is important because it reflects how the total ability of a circuit to store charge is enhanced with each additional capacitor. When capacitors are connected in parallel, each capacitor's plates face the same voltage, and their capacitances collectively contribute to the total capacitance. In parallel configurations, the total, or equivalent capacitance, is simply the sum of the individual capacitances. This relationship can be derived from the definition of capacitance, which is charge per unit voltage (C = Q/V). Since the voltage across each capacitor in parallel is the same, the total charge stored is the sum of the charges stored in each capacitor (Q_total = Q1 + Q2 + ... + Qn). Thus, if each capacitor contributes its own capacitance to the total, it follows that the equivalent capacitance is the straightforward addition of all capacitances involved. This summation makes it clear that adding more capacitors in parallel increases the capacitance, allowing for greater charge storage capacity in the circuit. This concept is particularly useful in designing circuits where increased capacitance is not only desired but necessary for functionality. The other equations presented are relevant to different configurations. For instance, the reciprocal relationship in

The equation that gives the equivalent capacitance for capacitors connected in parallel is important because it reflects how the total ability of a circuit to store charge is enhanced with each additional capacitor. When capacitors are connected in parallel, each capacitor's plates face the same voltage, and their capacitances collectively contribute to the total capacitance.

In parallel configurations, the total, or equivalent capacitance, is simply the sum of the individual capacitances. This relationship can be derived from the definition of capacitance, which is charge per unit voltage (C = Q/V). Since the voltage across each capacitor in parallel is the same, the total charge stored is the sum of the charges stored in each capacitor (Q_total = Q1 + Q2 + ... + Qn). Thus, if each capacitor contributes its own capacitance to the total, it follows that the equivalent capacitance is the straightforward addition of all capacitances involved.

This summation makes it clear that adding more capacitors in parallel increases the capacitance, allowing for greater charge storage capacity in the circuit. This concept is particularly useful in designing circuits where increased capacitance is not only desired but necessary for functionality.

The other equations presented are relevant to different configurations. For instance, the reciprocal relationship in