If the voltage across a capacitor in an AC circuit is 100 V and the capacitive reactance is 50 Ω, what is the current through the capacitor? (2021)
Practice Questions
1 question
Q1
If the voltage across a capacitor in an AC circuit is 100 V and the capacitive reactance is 50 Ω, what is the current through the capacitor? (2021)
2 A
0.5 A
5 A
10 A
Using Ohm's law, I = V/Xc = 100 V / 50 Ω = 2 A.
Questions & Step-by-step Solutions
1 item
Q
Q: If the voltage across a capacitor in an AC circuit is 100 V and the capacitive reactance is 50 Ω, what is the current through the capacitor? (2021)
Solution: Using Ohm's law, I = V/Xc = 100 V / 50 Ω = 2 A.
Steps: 7
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 Ω.
Step 3: Recall Ohm's law, which states that current (I) is equal to voltage (V) divided by resistance (R). In this case, the capacitive reactance (Xc) acts like resistance.
Step 4: Substitute the values into the formula: I = V / Xc.
Step 5: Calculate the current: I = 100 V / 50 Ω.
Step 6: Perform the division: 100 divided by 50 equals 2.
Step 7: Conclude that the current through the capacitor is 2 A.
