Please show your work for full credit! For the R-C circuit shown in Figure 1 on

Question

Please show your work for full credit!

For the R-C circuit shown in Figure 1 on Page 2, R=100 Ohm and C=1.00 F. What is the time constant of the R-C circuit? (answer: 100 s) Consider that the capacitor is initially not charged and the voltage of the battery is 3.00 V. The switch is closed at t = 0. Using the appropriate given formulas, write down below the voltage VC(t) on the capacitor and the current I(t) in the circuit. Consider that the capacitor is initially fully charged to 3.00 V. The switch is open at t = 0. Using the appropriate given formulas, write down below the voltage VC(t) on the capacitor and the current I(t) in the circuit.

Explanation / Answer

a. time constnat T = RC = 100*1 = 100 secs

b. initial charge Q = CV = 1 * 3 = 3C

initail voltage V = 3 V

initial current is zer0

c. when capacitor is fully charged, V = 3V

current i = v/R 3/100 = 30 mA

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