Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > In the case of a sinusoidal current, the unit...
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In the case of a sinusoidal current, the unit of the amplitude is:
- a)Radians/second
- b)Hertz
- c)Radians
- d)Amperes
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In the case of a sinusoidal current, the unit of the amplitude is:a)Ra...
Waveform: The curve obtains by plotting the instantaneous value of any electrical quantity such as voltage, current, or power.
Cycle: One complete set of positive and negative values or maximum or minimum value of the alternating quantity is called a cycle.
Note: One-half cycle of the wave is called Alternation.
Amplitude: the maximum value of the positive or negative alternative quantity is called Amplitude.
- For sinusoidal current, the unit of the amplitude is amperes.
- For sinusoidal voltage, the unit of the amplitude is volts.
- It is also known as peak value or crest value.
- Peak-Peak Value = 2 × Amplitude
- In the given figure amplitude of the waveform is Vm.
Time period (T): It is the time required to complete one cycle. It measured in seconds.
Frequency: The number of cycles completed per second is called frequency.
f = 1 / T
It measured in Hz or radian/sec.
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In the case of a sinusoidal current, the unit of the amplitude is:a)Ra...
Explanation:
In the case of a sinusoidal current, the unit of the amplitude is given in Amperes (option D).
Sinusoidal Current:
A sinusoidal current is a current that follows a sinusoidal waveform over time. It can be represented by the equation:
I(t) = I_m sin(ωt + φ)
Where:
- I(t) is the instantaneous value of the current at time 't'
- I_m is the amplitude of the current
- ω is the angular frequency in radians/second
- t is the time in seconds
- φ is the phase angle in radians
Amplitude:
The amplitude of a sinusoidal current is the maximum value of the current waveform. It represents the peak value or the maximum deviation from the average value.
Unit of Amplitude:
The unit of the amplitude of a sinusoidal current is given in Amperes (A). Amperes is the standard unit for measuring electric current.
Alternative Options:
Let's discuss why the other options are not correct:
- Radians/second (option A) is the unit for angular frequency, not the amplitude.
- Hertz (option B) is the unit for frequency, which is the number of cycles per second. It is not the unit for the amplitude.
- Radians (option C) is the unit for the phase angle, not the amplitude.
Therefore, the correct answer is option D - Amperes, which represents the unit of the amplitude of a sinusoidal current.
In the case of a sinusoidal current, the unit of the amplitude is given in Amperes (option D).
Sinusoidal Current:
A sinusoidal current is a current that follows a sinusoidal waveform over time. It can be represented by the equation:
I(t) = I_m sin(ωt + φ)
Where:
- I(t) is the instantaneous value of the current at time 't'
- I_m is the amplitude of the current
- ω is the angular frequency in radians/second
- t is the time in seconds
- φ is the phase angle in radians
Amplitude:
The amplitude of a sinusoidal current is the maximum value of the current waveform. It represents the peak value or the maximum deviation from the average value.
Unit of Amplitude:
The unit of the amplitude of a sinusoidal current is given in Amperes (A). Amperes is the standard unit for measuring electric current.
Alternative Options:
Let's discuss why the other options are not correct:
- Radians/second (option A) is the unit for angular frequency, not the amplitude.
- Hertz (option B) is the unit for frequency, which is the number of cycles per second. It is not the unit for the amplitude.
- Radians (option C) is the unit for the phase angle, not the amplitude.
Therefore, the correct answer is option D - Amperes, which represents the unit of the amplitude of a sinusoidal current.
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