I. An RC Circuit is constructed with a 1200 resistor and a 2 F capacitor connect
ID: 1498733 • Letter: I
Question
I. An RC Circuit is constructed with a 1200 resistor and a 2 F capacitor connected to 10V. a) What is the initial current in the circuit? b) How long does it take for the capacitor to build up 80% of the total charge it can hold? 90%? 99%? 2. Consider another RC circuit, where a resistor of 600 is connected to the 2,1 F capacitor and a 10V battery a) How long does it take for the capacitor to build up 80% of the total charge it can hold 90%? 99% ? b) How do these values compare to the values you found in question 1? b) How do these values compare to the values you found in question1Explanation / Answer
1) a) Initial current is 10/1200 = 8.33 mA
b) Time constant = = RC = 1200*2*10^-6 = 2.4 ms
Q = Q[1–e^(–t/)]
0.8 = [1 - e^(-t1/2.4 ms)] ======> t1 = 3.86 ms
2) a) Time constant = = RC = 600*2*10^-6 = 1.2 ms
Q = Q[1–e^(–t/)]
0.8 = [1 - e^(-t2/1.2 ms)] ======> t2 = 1.93 ms
b) t1 = 2*t2 = 2*1.93 = 3.86 ms