Question

An electrical circuit consists of n identical capacitors (each one is c) connected in series. What is the equivalent capacitance of all n capacitors in this circuit?

A. n/c
B. nC
C. c/n
D. C/n

Answer 1

The equivalent capacitance of n identical capacitors each with capacitance c connected in series is c/n.

Step-by-step explanation:

When n identical capacitors are connected in series, the equivalent capacitance (Ceq) can be found using the reciprocal sum of their capacitances. Since each capacitor has a capacitance of c, the formula for equivalent capacitance in a series circuit is Ceq = 1 / (1/c + 1/c + ... + 1/c), which is 1 / (n/c) after summing n terms. Therefore, the equivalent capacitance of all n capacitors connected in series is c/n.

The correct answer to the question is C. c/n.

In a series connection of capacitors, the equivalent capacitance (Ceq) is smaller than the smallest individual capacitance (c) in the series combination. The formula for Ceq in a series connection is:

Ceq = c/n

Where n is the number of identical capacitors in the series. Therefore, the correct answer is C. c/n.