Question

Time	t(μs)	0	8	16	24	32	40	48	56	64	72	80
Current	I(A)	100	66,88	45,55	30,05	20,471	13,504	9,19	6,06	4,13	2,72	1,85

Find the inductive time constant τ_L, of the circuit from the I-t plot and show its value and corresponding current value on the graph.

(From the theory of such circuits, at the time t=τ_L , the value of the current drops a defined fraction of the initial value. Show this value and when it happens on the graph and upload the graph)

Write the expressions for the slope and the intercept at the current axis, of the Log(I)-t plot, below. (Write the symbolic expression, not the numerical values)

Answer 1

The equation of discharging inductor is        where t is the time =time constant

take log

this is similar to equation of a straight line Y=mx+c slope is

From graph slope=-0.05*10⁶ by considering current in micro ampere

time constant