In an L-R circuit, time constant is that time in which current grows from zero to the value where I0 is steady state current.

Question

In an L-R circuit, time constant is that time in which current grows from zero to the value where I0 is steady state current. (A)  0.63I0 (B)  0.50I0 (C)  0.37I0 (D) I0

Tardigrade Admin · Accepted Answer

The equation for growth of current in L-R circuit is given by I=I0(1-e-t / τ) Here, τ(=(L/R)) is called time constant of the L-R circuit. At a time equal to one time constant i e, at t=τ I=I0(1-e-1) or I=I0(1-(1/e)) or I=0.63 I0

Q. In an $L - R$ circuit, time constant is that time in which current grows from zero to the value where $I_{0}$ is steady state current.

$0.63 I_{0}$

$0.50 I_{0}$

$0.37 I_{0}$

$I_{0}$

Q. In an L−R circuit, time constant is that time in which current grows from zero to the value where I0​ is steady state current.

0.63I0​

0.50I0​

0.37I0​

I0​

The equation for growth of current in L−R circuit is given by I=I0​(1−e−t/τ) Here, τ(=RL​) is called time constant of the L−R circuit. At a time equal to one time constant ie, at t=τ I=I0​(1−e−1) or I=I0​(1−e1​) or I=0.63I0​

Q. In an $L - R$ circuit, time constant is that time in which current grows from zero to the value where $I_{0}$ is steady state current.

$0.63 I_{0}$

$0.50 I_{0}$

$0.37 I_{0}$

$I_{0}$