A capacitor of capacitance C is connected to an AC source of frequency f. What i

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Question: A capacitor of capacitance C is connected to an AC source of frequency f. What is the capacitive reactance? (2020)

Options:

Correct Answer: 1/(2πfC)

Exam Year: 2020

Solution:

The capacitive reactance is given by XC = 1/(2πfC).

A capacitor of capacitance C is connected to an AC source of frequency f. What is the capacitive reactance? (2020)

A capacitor of capacitance C is connected to an AC source of frequency f. What is the capacitive reactance? (2020)

Correct Answer: XC = 1/(2πfC)

Step 1: Understand that capacitive reactance (XC) is a measure of how much a capacitor resists the flow of alternating current (AC).
Step 2: Know the formula for capacitive reactance, which is XC = 1/(2πfC).
Step 3: Identify the variables in the formula: 'f' is the frequency of the AC source, and 'C' is the capacitance of the capacitor.
Step 4: Plug in the values of frequency (f) and capacitance (C) into the formula to calculate XC.
Step 5: Perform the calculation to find the value of capacitive reactance.

Capacitive Reactance – Capacitive reactance (XC) is the opposition that a capacitor offers to the flow of alternating current (AC) due to its capacitance and the frequency of the AC source.
AC Circuit Analysis – Understanding how capacitors behave in AC circuits, including the relationship between frequency, capacitance, and reactance.
Formula Application – Applying the formula XC = 1/(2πfC) to calculate capacitive reactance based on given values of frequency and capacitance.