The switch in the figure ( Figure 1 ) has been in position a for a long time. It

Question

The switch in the figure (Figure 1) has been in position a for a long time. It is changed to position b at

t=0s

E)  What is the charge Q on the capacitor at t=200?s?

Express your answer using two significant figures.

Q =      ??? ?C  

The switch in the figure (Figure 1) has been in position a for a long time. It is changed to position b at What is the charge Q on the capacitor at t=200?s? Express your answer using two significant figures. Q = ??? ?C What is the current I through the resistor at t=200?s? Express your answer using two significant figures. I = ???mA

Explanation / Answer

at position a,capacitor is charged to 9 volts

so charge on it=9*2=18 uC

now as it is switched to b,

it will start discharging with time constant=R*C=0.1 ms

so at t=200 us,

charge=18 uC*e^(-0.2/0.1)=2.436 uC

F)voltage through resistor=voltage through capacitor=charge/capacitance=1.218 volts

so current=voltage/resistance=24.36 mA

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