# What is the smallest time t such that I = 4?

##
A generator produces an alternating current according to the equation I = 8 sin 124 #pi# t, where t is time in seconds and I is the current in amperes. What is the smallest time t such that I = 4?

A generator produces an alternating current according to the equation I = 8 sin 124

##### 1 Answer

#### Answer:

#### Explanation:

Since time is positive we are looking for the first positive answer. So pick n values and plug it to the two equations.

Note that if we pick n = -1 then we get two negative answers and if we pick n = 1 then we get 0.0175 and 0.02285 which are bigger than the values for n = 0 so the smallest time t when I = 4 is about 0.0013 sec.