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In a simple AC circuit, if the voltage is given by V(t) = 10 sin(100t), what is

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Question: In a simple AC circuit, if the voltage is given by V(t) = 10 sin(100t), what is the peak voltage?

Options:

  1. 5 V
  2. 10 V
  3. 15 V
  4. 20 V

Correct Answer: 10 V

Solution:

The peak voltage is the coefficient of the sine function, which is 10 V.

In a simple AC circuit, if the voltage is given by V(t) = 10 sin(100t), what is

Practice Questions

Q1
In a simple AC circuit, if the voltage is given by V(t) = 10 sin(100t), what is the peak voltage?
  1. 5 V
  2. 10 V
  3. 15 V
  4. 20 V

Questions & Step-by-Step Solutions

In a simple AC circuit, if the voltage is given by V(t) = 10 sin(100t), what is the peak voltage?
  • Step 1: Identify the given voltage function, which is V(t) = 10 sin(100t).
  • Step 2: Look at the sine function in the equation. The general form of a sine function is A sin(Bt), where A is the peak voltage.
  • Step 3: Find the coefficient of the sine function in the equation. In this case, the coefficient is 10.
  • Step 4: Conclude that the peak voltage is the value of this coefficient, which is 10 V.
  • Peak Voltage – The peak voltage in an AC circuit is the maximum value of the voltage waveform, represented by the coefficient of the sine function in the voltage equation.
  • AC Voltage Representation – Understanding how AC voltage is represented mathematically, particularly in the form V(t) = V_peak * sin(ωt), where V_peak is the peak voltage.
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