Capacitor charge and discharge (AQA A-Level Physics): Flashcards

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Capacitor charge and discharge
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Curve type for capacitor charge/discharge

Exponential

Time constant formula (symbol)

τ=RC\tau = RC

% remaining after one time constant (discharging)

37%

% reached after one time constant (charging)

63%

Discharge equation for charge QQ

Q=Q0e−tRCQ = Q_0 e^{\frac{-t}{RC}}

Charging equation for charge QQ

Q=Q0(1−e−tRC)Q = Q_0 \left(1 - e^{\frac{-t}{RC}}\right)

Half-life formula for capacitor

T1/2=0.69RCT_{1/2} = 0.69RC

Current when capacitor fully charged

Zero

Finding QQ from current-time graph

Area under the graph

Gradient of ln⁡Q\ln Q vs tt graph

−1RC-\frac{1}{RC}

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