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4. A sine wave has a frequency of 50 kHz. How many cycles does it complete in 10 ms?

4. A sine wave has a frequency of 50 kHz. How many cycles does it complete in 10 ms?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Question 4:** A sine wave has a frequency of 50 kHz. How many cycles does it complete in 10 ms? --- **Solution Explanation:** To find the number of cycles a sine wave completes, use the formula: \[ \text{Number of Cycles} = \text{Frequency} \times \text{Time} \] Given: - Frequency = 50 kHz = 50,000 Hz - Time = 10 ms = 0.01 seconds Substitute the values into the formula: \[ \text{Number of Cycles} = 50,000 \, \text{Hz} \times 0.01 \, \text{s} = 500 \] Thus, the sine wave completes 500 cycles in 10 ms.
Transcribed Image Text:**Question 4:** A sine wave has a frequency of 50 kHz. How many cycles does it complete in 10 ms? --- **Solution Explanation:** To find the number of cycles a sine wave completes, use the formula: \[ \text{Number of Cycles} = \text{Frequency} \times \text{Time} \] Given: - Frequency = 50 kHz = 50,000 Hz - Time = 10 ms = 0.01 seconds Substitute the values into the formula: \[ \text{Number of Cycles} = 50,000 \, \text{Hz} \times 0.01 \, \text{s} = 500 \] Thus, the sine wave completes 500 cycles in 10 ms.
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