00:01
Putting an inductor in series with the device will protect it from sudden urges in current.
00:09
Now the growth of current in an lr circuit is given in section 21 .22, sorry, 21 .12.
00:22
So current is equal to voltage over r times 1 minus e to the power minus t times r over r.
00:33
L and this part v over r by oombs law is the maximum current so we have imax written in place of that and the rest of the terms stay the same and t here is the time l over r is the time constant that we have already substituted r is the resistance l is the inductance that we are going to solve for now these are the information that we already have.
01:11
But before that, let me just solve this equation to find l.
01:17
So l will be equal to t times r over long of 1 minus i over i max.
01:30
Now let me write down the information given.
01:34
So it's given that the maximum current is 55 millie ampere.
01:44
And then it's given that, after a time of 120 microseconds, the current reaches a value of 7 .5 millie ampere.
02:01
And the resistance is given to be 120 ooms.
02:09
So now we can substitute all these values over here and solve for inductance...