A) 13.86 s
B) 6.93 s
C) 7 s
D) 14 s
Correct Answer: A
Solution :
\[{{V}_{R}}=\frac{{{V}_{0}}}{4}\] = \[{{V}_{0}}{{e}^{-\frac{t}{RC}}}\]Þ\[\frac{1}{4}\] = \[{{e}^{-\frac{t}{10}}}\] Þ \[4={{e}^{\frac{t}{10}}}\] Þ \[{{\log }_{e}}4=\frac{t}{10}\] Þ \[t=10\log 4\] = 13.86 s \[(RC=\text{ 2}.\text{5}\times \text{1}{{0}^{\text{6}}}\times \text{4}\times \text{1}{{0}^{-\text{6}}}=\text{ 1}0)\]
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