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RC Circuits We can use a resistor to slow the charging of the capacitor. C Charge on capacitor varies with time: V R q = qo [1- e-t/RC] -Current now varies with time. -In the very short term, you can treat the capacitor like a wire. R=0 -In the long term, you can treat the capacitor like a break. R = Infinite How much charge is on the capacitor after 1ms? C= 10μF V = 20V R = 100Ω How long does it take to gain 50% of maximum Charge? C= 10μF V = 20V R = 100Ω How long does it take to gain 100% of maximum Charge? C= 10μF V = 20V R = 100Ω We can use a resistor to slow the discharging of the capacitor. C (charged) Charge on capacitor varies with time: R q = qo [ e-t/RC] -Current varies with time. -The capacitor is now driving the current -As the capacitor discharges, the voltage drops - VC = VR How much charge is left on the capacitor after 1ms? C= 10μF V = 20V R = 100Ω How long does it take to lose 70% of maximum Charge? C= 10μF V = 20V R = 100Ω What is the current through the battery in very short term? What is the current through the battery in the long term? R1 = 5 Ω V =20V R2 = 10 Ω C = 2μF After a long time, what is the voltage drop across the Capacitor? R1 = 5 Ω V =20V R2 = 10 Ω C = 2μF