Question: If the voltage across a capacitor in an AC circuit is 100V and the capacitive reactance is 50Ω, what is the current? (2021)
Options:
2A
0.5A
5A
100A
Correct Answer: 0.5A
Exam Year: 2021
Solution:
Using Ohm\'s law, I = V/Xc = 100V/50Ω = 2A.
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? (2021)
2A
0.5A
5A
100A
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? (2021)
Step 1: Identify the voltage across the capacitor, which is given as 100V.
Step 2: Identify the capacitive reactance, which is given as 50Ω.
Step 3: Recall Ohm's law, which states that current (I) is equal to voltage (V) divided by reactance (Xc).
Step 4: Substitute the values into the formula: I = V / Xc.
Step 5: Calculate the current: I = 100V / 50Ω.
Step 6: Perform the division: 100 divided by 50 equals 2.
Step 7: Conclude that the current is 2A.
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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