Questions: 1. What is the voltage across a capacitor after a time of two constants when (a) charging from zero voltage and (b) discharging from a fully charged condition? 2. With $V = V_0e^{-t/RC}$, it mathematically takes an infinite time for a capacitor in an RC circuit to discharge. Practically, how many time constants does it take for a capacitor to discharge to less than 1% of its initial voltage? 3. A 2.0 µF capacitor in a circuit in series with a resistance of 1.0 MW is charged with a 6.0 V battery. How long would it take to charge the capacitor to three-fourths of its maximum charge?
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Voltage across the capacitor after two time constants when charging from zero voltage: The voltage across the capacitor when charging can be given by the formula: V(t) = V0 * (1 - e^(-t/(RC))) where V(t) is the voltage across the capacitor at time t, V0 is the Show more…
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With $V=V_{o} e^{-t / R C}$, it mathematically takes an infinite time for a capacitor in an $R C$ circuit to discharge. Practically, how many time constants does it take for a capacitor to discharge to less than $1 \%$ of its initial voltage?
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