Question

Using the formula XC=1/(2πfC) in your answer, how would a capacitor influence a simple DC series circuit?

Answer 1

The capacitive reactance of a DC series circuit increases when its capacitance decreases and vice-versa.

What is a DC series circuit?

A DC series circuit can be defined as a type of circuit in which all of its resistive components are connected end to end, so as to form a single path for the flow of current.

This ultimately implies that, the same amount of current flows through a direct current (DC) series circuit.

The capacitive reactance of a DC series circuit.

Mathematically, the capacitive reactance of a DC series circuit is given by this formula:

$X_C = \frac{1}{2\pi fC}$

Where:

• is the capacitive reactance.

• f is the frequency.

• C is the capacitance.

From the above formula, we can deduce that the capacitive reactance of a DC series circuit is inversely proportional to both frequency and capacitance. Thus, the capacitive reactance of a DC series circuit increases when its capacitance decreases and vice-versa.

In conclusion, a capacitor would influence a simple DC series circuit by blocking the flow of direct current (DC) through it.

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