The capacitor in an RC circuit(R = 100 , C = 45 uF) isinitially uncharged. Find

Question

The capacitor in an RC circuit(R = 100 , C = 45 uF) isinitially uncharged. Find the charge on the capacitor in the circuit one timeconstant (r = RC) after the circuit is connected to a9.0-V battery. (answer q(r)=_____ uC) Find the current in the circuit one timeconstant (r = RC) after the circuit is connected to a 9.0-Vbattery. (answer I(r)=______ mA The capacitor in an RC circuit(R = 100 , C = 45 uF) isinitially uncharged. Find the charge on the capacitor in the circuit one timeconstant (r = RC) after the circuit is connected to a9.0-V battery. (answer q(r)=_____ uC) Find the current in the circuit one timeconstant (r = RC) after the circuit is connected to a 9.0-Vbattery. (answer I(r)=______ mA Find the current in the circuit one timeconstant (r = RC) after the circuit is connected to a 9.0-Vbattery. (answer I(r)=______ mA

Explanation / Answer

the equation for Q(t) of capacitor: Q(t)=Q0*(1-exp(-t/RC)) where Q0 is charge on the capacitor when it reachesto the electric equilibrium. Q0=9*C= 405 C t=RC => Q(RC)=256 C For the current I(t)=I0*exp(-t/RC) I0=V/R=90 mA => I(RC)=33.1 mA For the current I(t)=I0*exp(-t/RC) I0=V/R=90 mA => I(RC)=33.1 mA

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