If the voltage across a capacitor is 100V and the capacitive reactance is 50 ohm
Practice Questions
Q1
If the voltage across a capacitor is 100V and the capacitive reactance is 50 ohms, what is the current through the capacitor? (2022)
2 A
1 A
0.5 A
0.25 A
Questions & Step-by-Step Solutions
If the voltage across a capacitor is 100V and the capacitive reactance is 50 ohms, what is the current through the capacitor? (2022)
Step 1: Identify the voltage across the capacitor, which is given as 100V.
Step 2: Identify the capacitive reactance, which is given as 50 ohms.
Step 3: Use the formula for current through a capacitor, which is I = V / Xc.
Step 4: Substitute the values into the formula: I = 100V / 50 ohms.
Step 5: Calculate the current: I = 2 A.
Capacitive Reactance – Capacitive reactance (Xc) is the opposition that a capacitor offers to the flow of alternating current (AC) due to its capacitance, calculated as Xc = 1/(2πfC), where f is the frequency and C is the capacitance.
Ohm's Law for AC Circuits – In AC circuits, the relationship between voltage (V), current (I), and reactance (X) is given by I = V/X, which is analogous to Ohm's Law in DC circuits.
