If the voltage across a capacitor in an AC circuit is 100V and the capacitive re

Practice Questions

Q1
If the voltage across a capacitor in an AC circuit is 100V and the capacitive reactance is 50Ω, what is the current through the capacitor? (2023)
  1. 1A
  2. 2A
  3. 3A
  4. 4A

Questions & Step-by-Step Solutions

If the voltage across a capacitor in an AC circuit is 100V and the capacitive reactance is 50Ω, what is the current through the capacitor? (2023)
  • Step 1: Identify the voltage across the capacitor. In this case, it is 100V.
  • Step 2: Identify the capacitive reactance (XC) of the capacitor. Here, it is 50Ω.
  • Step 3: Use the formula for current (I) in an AC circuit with a capacitor: I = V / XC.
  • Step 4: Substitute the values into the formula: I = 100V / 50Ω.
  • Step 5: Calculate the current: 100 divided by 50 equals 2.
  • Step 6: Conclude that the current through the capacitor is 2A.
  • Ohm's Law in AC Circuits – The relationship between voltage, current, and reactance in AC circuits, specifically how to calculate current through a capacitor using the formula I = V / XC.
  • Capacitive Reactance – Understanding capacitive reactance (XC) and its role in determining the current in an AC circuit.
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