Answer to Question 1

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(a) Time constant = RC = 100000 W 470 10-6 F

  RC = 47 s

 

(b)  V = V0 e t/RC 

V = 12.0 e-10/(47) = 12 e-0.213  = 12 0.808 = 9.7 V  

 

(c) 2 = 12 e -t/47

 0.167 = e -t/47

 loge (0.167) = -t/47

 - 1.791 = -t/47  

t = 47 1.791 = 84.2 s