What are the shapes of the charging graphs for current, charge and potential difference for a capacitor?

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What is meant by 'time constant' in relation to capacitors?

The time constant is the time it takes for a capacitor to charge to 63.2% of its maximum voltage.

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What is the formula that links time constant (τ\tau), resistance (R), and capacitance (C)? 

τ = RC


τ\tau = time constant (s)

R = resistance (Ω\Omega)

C = capacitance (F)

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What is the formula linking voltage (V), full charge potential difference (V0), time (t), resistance (R), and capacitance (C) for the discharging of a capacitor?

V = V0eRCt


V = potential difference at time t (V)

V0 = fully charged potential difference (V)

t = time (s)

R = resistance (Ω\Omega)

C = capacitance (F)

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What is the formula linking voltage (V), full charge potential difference (V0), time (t), resistance (R), and capacitance (C) for the charging of a capacitor?

V = V0(1 − eRCt)


V = potential difference at time t (V)

V0 = fully charged potential difference (V)

t = time (s)

R = resistance (Ω\Omega)

C = capacitance (F)

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What is the effect of increasing the resistance on the time constant of a capacitor?

Increasing the resistance increases the time constant, which slows down the rate of charging or discharging of the capacitor.

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What is the effect of increasing the capacitance on the time constant of a capacitor?

Increasing the capacitance increases the time constant, which slows down the rate of charging or discharging of the capacitor.

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