NO QUESTIONS DURING THE EXAM! (25 points) ARC circuit with battery ofemf 30 V an
ID: 1660243 • Letter: N
Question
NO QUESTIONS DURING THE EXAM! (25 points) ARC circuit with battery ofemf 30 V and capacitor with 4F is was connected to point I as shown in figure (a) so the capacitor is fully charg from position 1 to 2 as shown in figure (b). The current I is observed to decrease to 30 .( You may express your results in two significant figures) 4) shown in figure. Initially switch Then at t-0 the switch is turn 0.6 of its initial value in a) (5 points) What is the value of Q at t 0 s? b) (10 points) What is the value of R? c) (10 points) what is the net amount ofQ at 'T {b)Explanation / Answer
a) Q = CV= 30 (4 x 10^-6) = 1.2 x 10^-4 C
b) I = I0 e^( -t/RC)
0.6 = e^ ( -30 x 10^-6/ RC)
0.51= ( 3 x 10^-5/ RC)
R = ( 3x10^-5 / 0.51 x 4 x 10^-6)= 14.7 ohms
c) Q = 1.2 x 10^-4 ( e^-120 x10^-6/ 4 x 10^-6 x 14.7)
Q = 1.2 x 10^-4 e ^ ( -0.884)
Q =1.2 x 10^-4 ( 0.413) = 0.496 x 10^-4 C
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