If a signal has a frequency of 50 Hz, what is its period?
Understand the Problem
The question is asking for the period of a signal with a given frequency of 50 Hz. To find the period, we can use the formula: Period (T) = 1 / Frequency (f). In this case, we will calculate T as 1 / 50.
Answer
The period of the signal is $0.02$ seconds.
Answer for screen readers
The period of the signal is $0.02$ seconds.
Steps to Solve
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Identify the formula for period The period ( T ) of a signal is calculated using the formula: $$ T = \frac{1}{f} $$ where ( f ) is the frequency.
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Substitute the frequency value In this case, substitute ( f = 50 , \text{Hz} ): $$ T = \frac{1}{50} $$
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Calculate the period Now perform the division: $$ T = 0.02 , \text{seconds} $$
The period of the signal is $0.02$ seconds.
More Information
The period is the time taken for one complete cycle of a signal. A frequency of 50 Hz means the signal completes 50 cycles in one second, resulting in a period of 0.02 seconds for each cycle.
Tips
- Confusing frequency with period: Remember that frequency is how many cycles occur in one second, while period is the duration of one cycle.
- Incorrectly calculating the division: Ensure to calculate ( \frac{1}{50} ) correctly to avoid mistakes.
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