A) \[13.86\,s\]
B) \[6.93\,s\]
C) \[7\,s\]
D) \[14\,s\]
Correct Answer: A
Solution :
\[4{{V}_{1}}=12\]or \[{{V}_{1}}=3V.\] |
Time constant,\[\tau =CR\]\[=4\times {{10}^{-16}}\times 2.5\times {{10}^{6}}=10s\] |
We have,\[V={{V}_{0}}\left( 1-{{e}^{-t/\tau }} \right)\] |
Or \[9=12\left( 1-{{e}^{-t/10}} \right)\] |
\[Or\,{{e}^{t/10}}=4\,or\,\frac{t}{10}=\ell n4\] |
\[\therefore t=10\times 2\ell n2\] |
=\[20\times 0.693=13.86s\] |
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