In the case of a 360° phase shift between two signals, the time delay will be equal to:

Explanation:

In the case of a 360° phase shift between two signals, the time delay will be equal to one period of the signal. To understand why this is the correct answer, let's delve into the concept of phase shift and time delay in the context of periodic signals.

Phase Shift and Time Delay:

When two periodic signals are compared, the phase shift is the measure of how much one signal is shifted in time relative to another. A phase shift is often expressed in degrees, where 360° represents a complete cycle or period of the signal. Thus, a phase shift of 360° means that one signal is delayed by one complete cycle relative to the other signal.

To illustrate this, consider a simple sine wave signal:

Sine Wave Equation:

If we have a sine wave represented by the equation:

y(t) = A sin(ωt + φ)

where:

• A is the amplitude of the wave.
• ω is the angular frequency (ω = 2π/T, where T is the period).
• t is the time.
• φ is the phase shift.

When φ is 360°, it means the wave has completed one full cycle. Therefore, the time delay corresponding to a 360° phase shift is exactly one period of the signal. This can be mathematically expressed as:

Δt = T

where Δt is the time delay and T is the period of the signal.