In the context of phase relationships between two signals, if signal B is lagging signal A by 90 degrees, what can be inferred?

In the context of phase relationships between two signals, if signal B is lagging signal A by 90 degrees, what can be inferred?

• A. Signal A is leading signal B
• B. Signals A and B are in phase
• C. Signal B is leading signal A
• D. Signal A and signal B have the same frequency

Answer: (A)

When signal B is described as lagging signal A by 90 degrees, it indicates a specific relationship between the two signals concerning their phase. In this case, the term "lagging" means that signal B reaches its peak value after signal A does. Therefore, it is accurate to say that signal A is leading signal B. The leading signal (A) reaches the same phase positions as the lagging signal (B) earlier in the cycle, confirming that A advances ahead of B by a quarter of the wave period. The notion of signals being "in phase" would imply that both signals reach peak and zero values simultaneously, which isn't the case here given the 90-degree phase difference. The signals cannot be in phase if they are out of sync by any amount, including 90 degrees. While the statement that signal B is leading signal A would also imply a similar timing dynamic, the correct understanding in this scenario is that the leading signal is always the one that reaches corresponding points in the cycle first, not the lagging one. Lastly, the assertion that both signals have the same frequency does not necessarily follow from the given phase information alone. Although signals can have the same frequency and exhibit a phase difference, a phase difference alone does not confirm

When signal B is described as lagging signal A by 90 degrees, it indicates a specific relationship between the two signals concerning their phase. In this case, the term "lagging" means that signal B reaches its peak value after signal A does. Therefore, it is accurate to say that signal A is leading signal B. The leading signal (A) reaches the same phase positions as the lagging signal (B) earlier in the cycle, confirming that A advances ahead of B by a quarter of the wave period.

The notion of signals being "in phase" would imply that both signals reach peak and zero values simultaneously, which isn't the case here given the 90-degree phase difference. The signals cannot be in phase if they are out of sync by any amount, including 90 degrees.

While the statement that signal B is leading signal A would also imply a similar timing dynamic, the correct understanding in this scenario is that the leading signal is always the one that reaches corresponding points in the cycle first, not the lagging one.

Lastly, the assertion that both signals have the same frequency does not necessarily follow from the given phase information alone. Although signals can have the same frequency and exhibit a phase difference, a phase difference alone does not confirm