A charged capacitor is connected with a resistor. After how many time constants, does the energy of capacitor `(1/100)^th` becomes of its initial valu

Question

A charged capacitor is connected with a resistor. After how many time constants, does the energy of capacitor `(1/100)^th` becomes of its initial valu

A charged capacitor is connected with a resistor. After how many time constants, does the energy of capacitor `(1/100)^th` becomes of its initial value?
A. 2.3
B. 1.15
C. 0.69
D. 4.6

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A
`1/2 Q^2/C = 1/100 (1/2 Q_0^2/C)`
`Q=Q_0/10`
`Q_0/10 = Q_0e^(-t//tau)`
`ln(10)^(-1) = (-t)/tau`
`t/tau=2.303`

4 views Answered 2023-02-05 15:29