All Problems

Electric Current

Problem 3.170

A capacitor with capacitance C=400pFC=400 \mathrm{pF} is connected via a resistance R=650ΩR=650 \Omega to a source of constant voltage V0V_{0}. How soon will the voltage developed across the capacitor reach a value V=0.90 V0?V=0.90 \mathrm{~V}_{0} ?

Reveal Answer
t=RCln(IV/V0)=0.6t=-R C \ln \left(I-V / V_{0}\right)=0.6