Signal Current Solution

STEP 0: Pre-Calculation Summary
Formula Used
Signal Current = Current Peak Amplitude*sin(Angular Frequency of Wave*Time in Seconds)
Is = Ip*sin(ω*T)
This formula uses 1 Functions, 4 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Signal Current - (Measured in Ampere) - Signal Current is the sinusoidal component of the current whose peak amplitude is Ic.
Current Peak Amplitude - (Measured in Ampere) - Current Peak Amplitude is the peak value of the current of the signal wave.
Angular Frequency of Wave - (Measured in Radian per Second) - Angular Frequency of wave refers to the angular displacement per unit time. It is a scalar measure of rotation rate.
Time in Seconds - (Measured in Second) - Time in seconds because it is the SI unit of time.
STEP 1: Convert Input(s) to Base Unit
Current Peak Amplitude: 3.7 Milliampere --> 0.0037 Ampere (Check conversion ​here)
Angular Frequency of Wave: 90 Degree per Second --> 1.5707963267946 Radian per Second (Check conversion ​here)
Time in Seconds: 0.5 Second --> 0.5 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Is = Ip*sin(ω*T) --> 0.0037*sin(1.5707963267946*0.5)
Evaluating ... ...
Is = 0.00261629509038984
STEP 3: Convert Result to Output's Unit
0.00261629509038984 Ampere -->2.61629509038984 Milliampere (Check conversion ​here)
FINAL ANSWER
2.61629509038984 2.616295 Milliampere <-- Signal Current
(Calculation completed in 00.004 seconds)

Credits

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Created by Devyaani Garg
Shiv Nadar University (SNU), Greater Noida
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Birsa Institute of Technology (BIT), Sindri
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7 Signal Amplifier Calculators

Signal Current
​ Go Signal Current = Current Peak Amplitude*sin(Angular Frequency of Wave*Time in Seconds)
Voltage Gain of Small-Signal Operation of Current Mirrors
​ Go Short-Circuit Current Gain = (Transconductance 2*Voltage across Gate and Source)/Small Signal Input Current
Voltage Gain of Amplifier with Current-Source Load
​ Go Voltage Gain of Amplifier = -Transconductance*(1/Finite Output Resistance 1+1/Finite Output Resistance 2)
Current Transfer Ratio of Mirror with Base Current Compensation
​ Go Output Current = Reference Current*(1/(1+2/Transistor Current Gain^2))
Output Voltage Gain of Active Loaded CE Amplifier
​ Go Output Voltage Gain = -Transconductance*Output Resistance
Overall Voltage Gain given Signal Source
​ Go Overall Voltage Gain = Output Voltage/Input Signal
Input Resistance in Small-Signal Operation of Current Mirrors
​ Go Input Resistance = 1/Transconductance

Signal Current Formula

Signal Current = Current Peak Amplitude*sin(Angular Frequency of Wave*Time in Seconds)
Is = Ip*sin(ω*T)

Is this the instantaneous current?

No, this is only the sinusoidal component of the current, the instantaneous current is the sum of the peak amplitude of the signal current and the signal current, i.e. ic(t)=Ic+Ic*sin(wt)

How to Calculate Signal Current?

Signal Current calculator uses Signal Current = Current Peak Amplitude*sin(Angular Frequency of Wave*Time in Seconds) to calculate the Signal Current, The Signal Current formula is a sinusoidal component of the current. The instantaneous current ic(t) consists of a dc component Ic on which is superimposed a sinusoidal component i(t) whose peak amplitude is Ic. This depends on the frequency (cycles/sec), the peak amplitude of the current signal, and the time. Ic is also called the dc current. Signal Current is denoted by Is symbol.

How to calculate Signal Current using this online calculator? To use this online calculator for Signal Current, enter Current Peak Amplitude (Ip), Angular Frequency of Wave (ω) & Time in Seconds (T) and hit the calculate button. Here is how the Signal Current calculation can be explained with given input values -> 2616.295 = 0.0037*sin(1.5707963267946*0.5).

FAQ

What is Signal Current?
The Signal Current formula is a sinusoidal component of the current. The instantaneous current ic(t) consists of a dc component Ic on which is superimposed a sinusoidal component i(t) whose peak amplitude is Ic. This depends on the frequency (cycles/sec), the peak amplitude of the current signal, and the time. Ic is also called the dc current and is represented as Is = Ip*sin(ω*T) or Signal Current = Current Peak Amplitude*sin(Angular Frequency of Wave*Time in Seconds). Current Peak Amplitude is the peak value of the current of the signal wave, Angular Frequency of wave refers to the angular displacement per unit time. It is a scalar measure of rotation rate & Time in seconds because it is the SI unit of time.
How to calculate Signal Current?
The Signal Current formula is a sinusoidal component of the current. The instantaneous current ic(t) consists of a dc component Ic on which is superimposed a sinusoidal component i(t) whose peak amplitude is Ic. This depends on the frequency (cycles/sec), the peak amplitude of the current signal, and the time. Ic is also called the dc current is calculated using Signal Current = Current Peak Amplitude*sin(Angular Frequency of Wave*Time in Seconds). To calculate Signal Current, you need Current Peak Amplitude (Ip), Angular Frequency of Wave (ω) & Time in Seconds (T). With our tool, you need to enter the respective value for Current Peak Amplitude, Angular Frequency of Wave & Time in Seconds and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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