One period of a periodic function is described by the following equations: a) What is

Chapter 16, Problem 16.12

(choose chapter or problem)

One period of a periodic function is described by the following equations:

i(t) = -8t A,          \(-5 \mathrm{~ms} \leq t \leq 5 \mathrm{~ms}\);

i(t) = -40 mA,          \(5 \mathrm{~ms} \leq t \leq 15 \mathrm{~ms}\);

i(t) = 8t - 0.16 A,          \(15 \mathrm{~ms} \leq t \leq 25 \mathrm{~ms}\);

i(t) = 40 mA,          \(25 \mathrm{~ms} \leq t \leq 35 \mathrm{~ms}\).

a) What is the fundamental frequency in hertz?

b) Is the function even?

c) Is the function odd?

d) Does the function have half-wave symmetry?

e) Does the function have quarter-wave symmetry?

f) Give the numerical expressions for \(a_{v}, a_{k}\), and \(b_{k}\).