Frequency from period for a sawtooth: A sawtooth waveform has a period of 10 ms. What is its frequency in hertz?

Introduction / Context:Frequency and period are reciprocals for any repetitive waveform, including sawtooth signals used in timing, ramp generators, and sweep circuits. Converting between milliseconds and hertz correctly is a fundamental time–frequency skill for electronics and instrumentation work.

Given Data / Assumptions:

• Sawtooth period T = 10 ms.
• Relation: f = 1 / T.
• Units: 1 ms = 10^-3 s, so 10 ms = 0.01 s.

Concept / Approach:Compute the frequency as the reciprocal of the period after converting to seconds. Maintaining unit consistency avoids order-of-magnitude mistakes that are common when switching between milliseconds and seconds.

Step-by-Step Solution:

Verification / Alternative check:Check via intuition: A period of 10 ms means 100 cycles occur each second (since 100 * 0.01 s = 1 s). This reaffirms the numerical result without further calculation.

Why Other Options Are Wrong:

• 10 Hz: Would correspond to T = 0.1 s (100 ms), not 10 ms.
• 50 Hz: Would require T = 20 ms.
• 1,000 Hz: Would require T = 1 ms.

Common Pitfalls:

• Forgetting to convert milliseconds to seconds before inversion.
• Inverting and then misplacing the decimal point by a factor of 10.

Final Answer:100 Hz