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If the maximum amplitude of a sine wave is 2 V, the minimum amplitude is ________ V.a.0b.-2c.2d.Between -2 and 2

Question

If the maximum amplitude of a sine wave is 2 V, the minimum amplitude is ________ V.

a. 0
b. -2
c. 2
d. Between -2 and 2

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Solution

Break Down the Problem

  1. Identify the characteristics of a sine wave related to its amplitude.
  2. Understand that the maximum and minimum amplitudes are equal in magnitude but opposite in sign.

Relevant Concepts

  • A sine wave oscillates between a maximum and minimum amplitude.
  • For a sine wave with a maximum amplitude Amax A_{\text{max}} and minimum amplitude Amin A_{\text{min}} :
    • Amax=+2V A_{\text{max}} = +2\, V
    • Amin=Amax A_{\text{min}} = -A_{\text{max}}

Analysis and Detail

  1. Given that the maximum amplitude is +2V +2\, V , the minimum amplitude will be: Amin=2V A_{\text{min}} = -2\, V

Verify and Summarize

The calculations show that the minimum amplitude is indeed the negative value of the maximum amplitude. Therefore, the minimum amplitude:

Final Answer

The minimum amplitude is -2 V (option b).

This problem has been solved

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