Explanations & Calculations
- Employing the equation used to describe the discharging behavior of a capacitor through a resistor, this question could be answered.
- Potential difference/ voltage between the two terminals of the capacitor changes over time according to,
V=Vie−RCt
- One-third of the original voltage is 4V
- Therefore,
431eRCtRCtC=12e−RCt=eRCt1=3=ln3=R⋅ln3t=12×103Ω×1.098624.6s=1.866×10−3F=1.866mF
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