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Week6_1

# Week6_1 - RC Circuits A direct current circuit may contain...

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1 RC Circuits ± A direct current circuit may contain capacitors and resistors, the current will vary with time ± When the circuit is completed, the capacitor starts to charge ± The capacitor continues to charge until it reaches its maximum charge (Q = C ε ) ± Once the capacitor is fully charged, the current in the circuit is zero

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2 Quiz 2 on Wednesday ± Chapter 20
3 Quiz 2 Wednesday ± Chapter 20

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4 Charging an RC Circuit ± As the plates are being charged, the potential difference across the capacitor increases ± At the instant the switch is closed, the charge on the capacitor is zero ± Once the maximum charge is reached, the current in the circuit is zero ± The potential difference across the capacitor matches that supplied by the battery
5 Charging Capacitor in an RC Circuit ± The charge on the capacitor varies with time ± q = C ε (1 – e -t/RC ) = Q(1 – e -t/RC ) ± τ is the time constant ± τ =RC ± The current can be found () tRC It e R ε =

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6 Time Constant, Charging ± The time constant represents the time required for the charge to increase from zero to 63.2% of its maximum ± τ has units of time ± The energy stored in the charged capacitor is ½ Q ε = ½ C ε 2
7 Discharging Capacitor in an RC Circuit ± When a charged capacitor is placed in the circuit, it can be discharged ± q = Qe -t/RC ± The charge decreases exponentially

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8 Discharging Capacitor ± At t = τ = RC, the charge decreases to 0.368 Q max ± In other words, in one time constant, the capacitor loses 63.2% of its initial charge ±
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Week6_1 - RC Circuits A direct current circuit may contain...

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