the voltaje in the resistor is given by the following function: V(r) = V0(e^(-20
ID: 1263158 • Letter: T
Question
the voltaje in the resistor is given by the following function: V(r) = V0(e^(-200t)); where V0 is the voltaje of the battery. afterwards of closing the switch determine:
The capacitance of the capacitor
The current in the circuit when Q(t) = 25uC
How much time does it take the charge to reach 25uC?
the voltaje in the resistor is given by the following function: V(r) = V0(e^(-200t)); where V0 is the voltaje of the battery. afterwards of closing the switch determine: The capacitance of the capacitor The current in the circuit when Q(t) = 25uC How much time does it take the charge to reach 25uC?Explanation / Answer
Time constant = RC = 1/200
1)=> C = 1/200*1000 = 0.5*10-5 F = 5*10-6 F (ans) or 5 muF (ans)
2)when Q = 25 uC
voltage = Q/C = 25/5 = 5 V
Current = 5/1000 = 5*10-3 A (ans) or 5 mA (ans)
3) Q = Qo( 1- e-t/RC)
=> 25*10-6 = 5*10-6* 10( 1- e-200t)
=> 0.5 = 1- e-200t
=> e-200t = 0.5
taking logs
-0.693 = -200t
=> t = 0.693/200 = 3.4657*10-3 sec (ans) or 3.4657 ms (ans)
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