How long will a 100uf capacitor take to discharge through a 100Ω bleed resistor?
thanks henry2,
You are welcome.
To determine the discharge time of a capacitor through a resistor, we can use the formula for the time constant of a RC circuit. The time constant (τ) is a measure of how quickly the capacitor discharges and is given by the equation:
τ = R * C
Where:
- τ is the time constant in seconds
- R is the resistance in ohms
- C is the capacitance in farads
In your case, the capacitance (C) is given as 100 microfarads (μF) which needs to be converted to farads. 1 microfarad (μF) equals 1 x 10^-6 farads. So, 100 microfarads can be represented as 100 x 10^-6 farads or 0.0001 farads.
Similarly, the resistance (R) is given as 100 ohms.
Now, we can calculate the time constant (τ):
τ = R * C
= 100 Ω * 0.0001 F
= 0.01 seconds
Therefore, the discharge time of a 100 μF capacitor through a 100 Ω resistor is 0.01 seconds (or 10 milliseconds).
RC = 100*100*10^-6 = 10^-4 = 0.0001 s.
The capacitor will discharge in 5 time constants:
t = 5 * 0.0001 = 0.0005 s.