contestada

Time constant is defined as the time required ____. Select one: a. for the deflection to fall (decay) 57% of the peak deflection b. for the deflection to fall (decay) to 47% of the peak deflection c. for the deflection to fall (decay) to 37% of the peak deflection d. for the deflection to fall (decay) 77% of the peak deflection

Respuesta :

Answer:

c. for the deflection to fall (decay) to 37% of the peak deflection

Explanation:

For decay of deflection ( in the form of current or voltage ) to decay , the relation is as follows

[tex]i=i_0e^{-\frac{t}{\lambda}}[/tex]

i₀ is maximum current , λ is time constant ,  i is current at time t .

If t = λ

[tex]i=i_0(e^-\frac{\lambda}{\lambda} )[/tex]

[tex]i=i_0e^{-1}[/tex]

i = i₀ x .3678

This tells that time constant is the time during which current ( deflection )  decays to 36.78% of maximum current ( deflection ).

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