The RC time constant, also called tau, the time constant (in seconds) of an RC circuit, is equal to the product of the circuit resistance (in ohms) and the circuit capacitance (in farads), i.e.
[tex]\tau = RC[/tex]
Here,
R = Resistance
C = Capacitance
Replacing we have that
[tex]\tau = (1000)(0.025*10^{6})[/tex]
[tex]\tau = 25*10^{-6}[/tex]
[tex]\tau = 25\mu s[/tex]
Therefore the time constant of this circuit is [tex]\tau = 25\mu s[/tex]
An RC circuit is defined as the circuit in which capacitor and resistor are present. It is generally found in electronic gadgets and play important role in electrical signals.
The time constant for the given circuit is 25[tex]\mu \text s[/tex].
Given:
Resistance of the circuit = 1000 ohm
Capacitance of capacitor = 0.025 microfarad = 0.025 x 10⁶ Farads
We know, the time constant of the circuit is:
T = RC
where,
R = Resistance and C = Capacitance
substituiting the values:
T = 1000 x 0.025 x 10⁶
T = 25 [tex]\mu \text s[/tex].
Therefore, the time constant for the circuit is 25 [tex]\mu \text s[/tex].
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