Capacitor Charge Current Equation:
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The capacitor charge current is the instantaneous current flowing into a capacitor during the charging process. It follows an exponential decay pattern as the capacitor charges up to the source voltage.
The calculator uses the capacitor charge current equation:
Where:
Explanation: The current starts at \( V_s/R \) when t=0 and decays exponentially as the capacitor charges.
Details: Understanding charge current is crucial for circuit design, preventing excessive inrush current, and determining charging times in RC circuits.
Tips: Enter source voltage in volts, resistance in ohms, time in seconds, and capacitance in farads. All values must be positive.
Q1: What is the initial current when t=0?
A: At t=0, the current is simply \( V_s/R \) (maximum current), as the capacitor acts like a short circuit.
Q2: How long does it take for a capacitor to fully charge?
A: Technically, a capacitor never fully charges, but after 5 time constants (5RC), it's considered 99.3% charged.
Q3: What happens if R=0?
A: The equation breaks down as current would theoretically be infinite. In reality, wires have some resistance.
Q4: Can this be used for discharging current?
A: Yes, the same equation applies for discharge current, just with the capacitor's initial voltage as \( V_s \).
Q5: What are typical capacitor values?
A: Common values range from picofarads (pF) to millifarads (mF), with supercapacitors reaching farads (F).