If the frequency of an AC signal is doubled, what happens to its period?

If the frequency of an AC signal is doubled, what happens to its period?

Step 1: Understand that frequency (f) is how many times something happens in one second.
Step 2: Know that the period (T) is the time it takes for one complete cycle of the signal.
Step 3: Remember the formula that relates period and frequency: T = 1/f.
Step 4: If the frequency is doubled, it means f becomes 2f.
Step 5: Substitute 2f into the formula: T = 1/(2f).
Step 6: Compare the new period (T = 1/(2f)) with the original period (T = 1/f).
Step 7: Notice that 1/(2f) is half of 1/f, so the new period is half the original period.

Frequency and Period Relationship – The relationship between frequency and period is defined by the formula T = 1/f, where T is the period and f is the frequency.