Inverting amplifier and sinunsoidal math

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In summary: I'm just a summarizer and I am not programmed to reply to questions. But I'm glad that you understood the exercise. In summary, the given problem is an inverting amplifier with an input voltage of 0.001sin(2000πt) and an output voltage of -5sin(2000πt + 25). The questions asked are about the input and output amplitude, as well as the voltage gain. Some resources were also provided to help with understanding sinusoidal math.
  • #1
nnis13
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Homework Statement


I have an inverting amplifier with v(in)=0.001sin(2000πt) and v(out)=-5sin(2000πt + 25)

Homework Equations


what is the input amplitude and at what degree?
what is the output amplitude and at what degree?
what is the voltage gain and at what degree?

The Attempt at a Solution


I am not really sure about a solution because my sinusoidal math are not very good ,so if anyone can help please do.
Also i searched google about sinusoidal math and i can't really find something that can help me solve this exersice,so i would apprisiate it if you also post some links that can help.

Sorry for my bad english.
 
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  • #2
nnis13 said:

Homework Statement


I have an inverting amplifier with v(in)=0.001sin(2000πt) and v(out)=-5sin(2000πt + 25)


Homework Equations


what is the input amplitude and at what degree?
what is the output amplitude and at what degree?
what is the voltage gain and at what degree?

The Attempt at a Solution


I am not really sure about a solution because my sinusoidal math are not very good ,so if anyone can help please do.
Also i searched google about sinusoidal math and i can't really find something that can help me solve this exersice,so i would apprisiate it if you also post some links that can help.

Sorry for my bad english.

Here's an intro link:

http://en.wikipedia.org/wiki/Sin( )

The general form of the function that fits your problem is:

[tex]v(t) = A sin(\omega t + \phi)[/tex]
 
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  • #3
Ok thanks i think i understood the exercise
Sorry for not replying earlier
 

FAQ: Inverting amplifier and sinunsoidal math

What is an inverting amplifier?

An inverting amplifier is a type of electronic circuit that produces an output voltage that is the opposite of the input voltage. This is achieved by using an operational amplifier and a feedback resistor. The input voltage is applied to the inverting terminal of the operational amplifier and the output voltage is taken from the output terminal.

How does an inverting amplifier work?

An inverting amplifier works by using the feedback resistor to adjust the gain of the operational amplifier. The input voltage is applied to the inverting terminal, and the output voltage is taken from the output terminal. The feedback resistor creates a voltage divider with the input voltage, which in turn creates a negative feedback loop that keeps the output voltage stable.

What is the significance of the negative sign in the expression for the output voltage of an inverting amplifier?

The negative sign in the expression for the output voltage of an inverting amplifier indicates that the output voltage is inverted or opposite to the input voltage. This is because the input voltage is applied to the inverting terminal of the operational amplifier, which causes the output voltage to be the opposite of the input voltage.

How does a sinusoidal input voltage affect the output voltage of an inverting amplifier?

A sinusoidal input voltage will result in a sinusoidal output voltage of the same frequency, but with an opposite phase. This means that the output voltage will have the same shape as the input voltage, but will be inverted or mirrored along the x-axis. The amplitude of the output voltage will also depend on the gain set by the feedback resistor.

What are some practical applications of an inverting amplifier with sinusoidal input voltage?

Inverting amplifiers with sinusoidal input voltage have various applications, such as in audio amplifiers, signal processing circuits, and communication systems. They can also be used for frequency filtering and waveform generation. They are commonly used in electronic devices to amplify and process signals in a controlled and precise manner.

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