Question

Consider the following transfer function H(s)= 100s(1+1000s)/(1+s)(1+10s) Find: a) Where are the location(s) of the zero(s)?

Answer 1

The zeros of the transfer function H(s) = 100s(1+1000s)/(1+s)(1+10s) are located at s = 0 and s = -1/1000. Zeros are found by setting the numerator of the transfer function to zero.

Step-by-step explanation:

The question involves finding the location of zeros in a transfer function which is a concept in control systems, a subject within electrical engineering.

Zeros of the transfer function H(s) are the values of s that make H(s) equal to zero. In the given transfer function H(s) = 100s(1+1000s)/(1+s)(1+10s), zeros can be found by setting the numerator equal to zero:

1. 100s(1+1000s) = 0
2. Set each factor to zero separately: s = 0 and 1 + 1000s = 0
3. Solve for s: s = 0 and s = -1/1000

Thus, the transfer function has zeros at s = 0 and s = -1/1000.