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What is the amplitude in the equation v = 35 sin(5000t)?Select one:a.5000/π Vb.5000 Vc.35 Vd.35π V

Question

What is the amplitude in the equation v = 35 sin(5000t)?

Select one:

  • a. 5000/π V
  • b. 5000 V
  • c. 35 V
  • d. 35π V
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Solution

1. Break Down the Problem

In the equation v=35sin(5000t) v = 35 \sin(5000t) , we need to identify the amplitude from the sine function.

2. Relevant Concepts

The general form of a sine function is y=Asin(Bt+C)+D y = A \sin(Bt + C) + D , where:

  • A A represents the amplitude,
  • B B affects the frequency,
  • C C is a phase shift, and
  • D D is a vertical shift.

3. Analysis and Detail

In the given equation v=35sin(5000t) v = 35 \sin(5000t) , comparing it to the general form, we can specifically identify that:

  • The amplitude A=35 A = 35 .

4. Verify and Summarize

The amplitude of a sine function represents the maximum value it can reach. In this case, it is 35 35 V.

Final Answer

The amplitude of the function v=35sin(5000t) v = 35 \sin(5000t) is 35 V (option c).

This problem has been solved

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