Question

functions x (t ) and h(t ) have the waveforms shown in fig. p2.13. determine and plot y(t) = x(t) ∗ h(t) using the following methods.

Answer 1

To determine the resulting wave function y(t) = x(t) ∗ h(t), multiply the wave functions x(t) and h(t) together.

Step-by-step explanation:

The wave function of the second wave, y2(x, t) = A sin (2kx + 2wt), can be written as:

y2(x, t) = A sin (kx - wt + kx + wt)

= A sin (2kx + 2wt).

To find the resulting wave function y(t) = x(t) ∗ h(t), you need to multiply the wave functions x(t) and h(t) together.

For example, if x(t) = A sin (kx - wt) and h(t) = B cos (kx - wt), then the resulting wave function y(t) = A sin (kx - wt) * B cos (kx - wt).