The question states:
The charge entering a certain circuit element is found to be q=5t*e^((-10^3)*t) C. (a) Find the corresponding current i. (b) Find the instant t [greater than or equal to] 0 at which i is minimum, as well as Imin.
For part (a) I just took the derivative and got I=(5-5000*t)*e^(-1000t)
The answer for part b is 2ms, -0.677 A
I plugged those numbers in and got the same result, but I'm just wondering how they figured out it was 2 ms
Thanks!
The charge entering a certain circuit element is found to be q=5t*e^((-10^3)*t) C. (a) Find the corresponding current i. (b) Find the instant t [greater than or equal to] 0 at which i is minimum, as well as Imin.
For part (a) I just took the derivative and got I=(5-5000*t)*e^(-1000t)
The answer for part b is 2ms, -0.677 A
I plugged those numbers in and got the same result, but I'm just wondering how they figured out it was 2 ms
Thanks!