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

Practice Questions

Q1
A capacitor of capacitance C is connected to an AC source of frequency f. What is the capacitive reactance? (2020)
  1. 1/(2πfC)
  2. 2πfC
  3. C/(2πf)
  4. 2πf

Questions & Step-by-Step Solutions

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.
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