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Is the following statement true or false? The time constant of an RC circuit is the time it takes to completely charge or discharge the capacitor. O True False

Respuesta :

Answer:

FALSE

Explanation:

As we know that equation for charging of a capacitor is given by

[tex]q = CV(1 - e^{-\frac{t}{\tau}})[/tex]

now at t = 0 we can say there is no charge on the capacitor

now as the time will increase the value of charge will increase on the plates of capacitor

now after t = 1 time constant

we will have

[tex]q = CV(1 - e^{-1})[/tex]

[tex]q = 0.63 CV[/tex]

so after one time constant the capacitor will charged upto 63% of its maximum value.

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