An RC circuit has R=6.7k02 and C= 2.0 μF. The capacitor is at a voltage Vo at t=0, when the switch is closed. How long does it take the capacitor to discharge to 1.0% of its initial voltage?

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An RC circuit has R=6.7k and C= 2.0 uF. The capacitor is at a voltage Vo at t=0, when the switch is closed. How long does it take the capacitor to discharge to 1.0% of its initial voltage?
Transcribed Image Text:An RC circuit has R=6.7k and C= 2.0 uF. The capacitor is at a voltage Vo at t=0, when the switch is closed. How long does it take the capacitor to discharge to 1.0% of its initial voltage?
Expert Solution
Step 1

Concept:

To determine the time taken by the capacitor to discharge to 1.0% of the initial value, we need to calculate the Time constant and The voltage across the capacitor after time when it is in discharging condition.

The Formula used to calculate the Time constant is

τ=RChere,τ= Time constantR= ResistanceC=Capacitor

The Expression used to determine the Voltage across the capacitor will be

V(t)=Ve-tτhere,V=Initial voltageτ=Time constant

 

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