(17%) Problem 2: A capacitor has a potential difference of VO-275 V between the

Question

(17%) Problem 2: A capacitor has a potential difference of VO-275 V between the plates. When the switch S is closed, it is discharged through a resistor ofR-6.5 k At time t 10 seconds after the switch is closed, the potential difference between the capacitor plates equals Vc-1.0 V. Randomized Variables Vo 275 V ©theexp 33% Part (a) Calculate the capacitance of the capacitor in farads Grade Deduc Potent cos() Subm Attem sin) cotan()asin() atan) acotan) sih cosh() tan( ) acos) detail tanh)cotanh(O 0 END Degrees Radians NO BACKSPACE CLEAR Submit Hint I give up! Hints: 1 % deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. -.. 3300 Part (b) Calculate the maximum current Imax that passes through the resistor, in Amperes 33%, Part (c) Calculate the current 1 at time t, in Amperes

Explanation / Answer

Vc = V0[e^(-t/RC)]

1 = 275 [ e^(-10/RC)]

- 10 / RC = ln(1/275)

R C = 1.78

(6.5 x 10^3)(C) = 1.78

C = 274 x 10^-6 F  

(B) Imax = 275 / (6.5 x 10^3) = 0.0423 A  

(C) I (t) = (0.0423 A)[ 1 - e^(-t/1.78)]

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