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Asked by miaowmira1900 | 01 Sep, 2019, 18:29: PM
answered-by-expert Expert Answer
If switch is initially at A means, it is assumed that capacitor is connected to
40 V voltage source for sufficiently long time  through 5kΩ resistor.
 
Let us assume switch is now operated at t = 0 so that contact is made at B,
then capacitor discharging through 2 kΩ resistor
 
Initial voltage across capacitor plates is 40 V
 
Then voltage v(t) across plates as a function of time is given by,
 
begin mathsize 14px style v left parenthesis t right parenthesis space equals space v left parenthesis 0 right parenthesis space e to the power of bevelled fraction numerator negative t over denominator R C end fraction end exponent space equals space 40 space e to the power of bevelled fraction numerator negative t over denominator left parenthesis 2000 cross times 10 cross times 10 to the power of negative 6 end exponent right parenthesis end fraction end exponent space equals space 40 space e to the power of negative 50 t end exponent space V end style
Answered by Thiyagarajan K | 01 Sep, 2019, 19:29: PM

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