A 10 μF capacitor initially charged to 25 μC is

Irrerbthist6n 2021-12-17 Answered
A 10 μF capacitor initially charged to 25 μC is discharged through a 1.4 kΩ resistor.
How long does it take to reduce the capacitor's charge to 10 μC?
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Expert Answer

veiga34
Answered 2021-12-18 Author has 32 answers

Given:
Initial charge on the capacitor, Qο=25µC
Final charge on the capacitor, Q=10µC
Resistance, R=1400Ω
Capacitance, C=10μF
Due to discharging, charge on the capacitor is calculated by
Q=Q0et/RC
plug in the values
10=25et/1400×10×106
25et/14×103
taking log both sides
ln(25)=t14×103
=0.916=t×71.43
t=0.013s

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