Question

The charge on a capacitor decrease `eta` time in time `t`, when it discharging through a circuit with a time constant` tau`
A. `t= eta tau`
B. `t = tau 1n eta`
C. `t = tau(1n eta-1)`
D. `t = tau 1n(1-1/(eta))`

Answer 1

Correct Answer - B
`q=q_(0)e^(-t//tau)`
`(q_(0))/(eta)=q_(0)e^(-t//tau)`
`e^(t//tau)=eta implies t=tau ln eta`