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

Practice Questions

Q1
If the voltage across a capacitor in an AC circuit is 100 V and the capacitive reactance is 50 ohms, what is the current? (2020)
  1. 2 A
  2. 0.5 A
  3. 5 A
  4. 10 A

Questions & Step-by-Step Solutions

If the voltage across a capacitor in an AC circuit is 100 V and the capacitive reactance is 50 ohms, what is the current? (2020)
  • Step 1: Identify the voltage across the capacitor, which is given as 100 V.
  • Step 2: Identify the capacitive reactance, which is given as 50 ohms.
  • Step 3: Recall Ohm's law, which states that current (I) is equal to voltage (V) divided by resistance (or reactance in this case).
  • Step 4: Substitute the values into the formula: I = V / Xc.
  • Step 5: Calculate the current: I = 100 V / 50 ohms.
  • Step 6: Perform the division: 100 divided by 50 equals 2.
  • Step 7: Conclude that the current is 2 A.
  • Ohm's Law in AC Circuits – Ohm's Law can be applied to AC circuits involving capacitors, where current (I) is calculated as voltage (V) divided by capacitive reactance (Xc).
  • Capacitive Reactance – Capacitive reactance (Xc) is the opposition that a capacitor offers to the flow of alternating current, measured in ohms.
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