Question

You are given the following First Order Differential Equation. The current ? is in Amps and the time t in seconds. Calculate the time constant T. 20 dit+60i(t) = 200 Put your answer in milli-seconds in box below with no units.

Answer 1

Answer: 20 ms

Step-by-step explanation:

To calculate the time constant T, we can rearrange the given first-order differential equation in the standard form:

di(t)/dt + (1/20)t = 10

Comparing this equation with the standard form of a first-order linear differential equation:

di(t)/dt + (1/T)i(t) = K

We can see that T = 20 and K = 10.

Therefore, the time constant T is 20 milliseconds.