RC Circuit Current Equation (Charging):
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The RC circuit current equation describes how current changes over time in a resistor-capacitor circuit during charging. The current starts at maximum (V/R) when the capacitor is uncharged and decreases exponentially as the capacitor charges.
The calculator uses the RC circuit charging equation:
Where:
Explanation: The equation shows how current changes exponentially with time constant τ = RC. After about 5τ, the current approaches zero as the capacitor becomes fully charged.
Details: Understanding RC circuit behavior is essential for designing timing circuits, filters, signal processing systems, and power supply circuits.
Tips: Enter all values in standard units (V, Ω, s, F). The calculator will compute the instantaneous current at the specified time during the charging process.
Q1: What happens when t = 0?
A: At t=0, the current is V/R (maximum) since the capacitor acts like a short circuit initially.
Q2: What is the time constant (τ)?
A: τ = RC. After one time constant, current reaches about 63.2% of its final decay value.
Q3: How does current behave in discharging?
A: For discharging, the equation is I = (V/R)e^(-t/RC), with current flowing in opposite direction.
Q4: What if R or C is zero?
A: The equation becomes undefined. R cannot be zero (short circuit) and C cannot be zero (no capacitor).
Q5: How accurate is this for real circuits?
A: This is ideal case. Real circuits have additional factors like ESR, leakage, and component tolerances.