Question

A\ S\ B\ C\ R\ V_B = 10 ext{ V}, R = 250 ext{ k}Omega\ Figure 2.1\ A capacitor of unknown value is charged by connecting it to a 10 V battery as\ shown in Figure 2.1 with the switch S in position A. The capacitor is then\ discharged through a 250 kOmega resistor R when S is moved to position B at time\ t=0 s.\ The voltage across R is measured after 12 s and is found to be 6 V.\ Calculate\ (i) the value of capacitor C\ (ii) the time for the voltage to decrease to 3 V.\ [4 marks]\ [4 marks]\ Your solution should show all of your calculations and not just the numerical\ answers to attract full marks.\ Note: You may assume that in position B the current is given by\ $I(t) = I_0e^{-t/ au}$\ where the symbols have their usual meaning.

          A\
S\
B\
C\
R\
V_B = 10	ext{ V}, R = 250	ext{ k}Omega\
Figure 2.1\
A capacitor of unknown value is charged by connecting it to a 10 V battery as\
shown in Figure 2.1 with the switch S in position A. The capacitor is then\
discharged through a 250 kOmega resistor R when S is moved to position B at time\
t=0 s.\
The voltage across R is measured after 12 s and is found to be 6 V.\
Calculate\
(i) the value of capacitor C\
(ii) the time for the voltage to decrease to 3 V.\
[4 marks]\
[4 marks]\
Your solution should show all of your calculations and not just the numerical\
answers to attract full marks.\
Note: You may assume that in position B the current is given by\
$I(t) = I_0e^{-t/	au}$\
where the symbols have their usual meaning.

ASBCRVB = 10 ext V, R = 250 ext kOmegaFigure 2.1A capacitor of unknown value is charged by connecting it to a 10 V battery asshown in Figure 2.1 with the switch S in position A. The capacitor is thendischarged through a 250 kOmega resistor R when S is moved to position B at timet=0 s.The voltage across R is measured after 12 s and is found to be 6 V.Calculate(i) the value of capacitor C(ii) the time for the voltage to decrease to 3 V.[4 marks][4 marks]Your solution should show all of your calculations and not just the numericalanswers to attract full marks.Note: You may assume that in position B the current is given byI(t) = I0e^-t/ auwhere the symbols have their usual meaning.

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