Converting input in rlc circuits

In summary, to convert E=70.7sinwt to 50∠0 degrees, you would use Euler's identity to convert the sinusoid to a complex number, and then obtain the modulus (magnitude) and phase. The resulting answer would be 70.7∠10°. However, depending on the reference wave, the phase angle could also be represented as -80°.
  • #1
VerdictGuilty
1
0
I was wondering how to convert E=70.7sinwt..<-- (just an example)
to something like 50∠0 degrees?​
 
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  • #2
Hi VerdictGuilty, http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif


E=70.7sin(Ѡt + 10°)
=70.7∠10°

Too easy!
 
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  • #3
You're converting it to phasor representation. You want to employ Euler's identity to convert the sinusoid to a complex number from which you can obtain the modulus(magnitude) and phase.
 
  • #4
@NascentOxygen,

Since the phase angle is based on the cosine function, are you missing a -90deg factor in your answer? should it be 70.7∠-80?
 
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  • #5
jrive said:
@NascentOxygen,

Since the phase angle is based on the cosine function, are you missing a -90deg factor in your answer? should it be 70.7∠-80?
I referenced it to a sine wave.
 

FAQ: Converting input in rlc circuits

What is an RLC circuit?

An RLC circuit is an electrical circuit that consists of a resistor (R), an inductor (L), and a capacitor (C). These components are connected in series or parallel and can be used to filter or amplify electrical signals.

How does an RLC circuit convert input signals?

An RLC circuit converts input signals by using the properties of its components. The resistor reduces the amplitude of the signal, the inductor stores energy in the form of a magnetic field, and the capacitor stores energy in the form of an electric field. Together, these components can manipulate the input signal to produce a desired output.

What is the difference between a series and parallel RLC circuit?

In a series RLC circuit, all three components are connected in a single loop, while in a parallel RLC circuit, the components are connected in separate branches. This results in different properties and behaviors of the circuit, such as the overall impedance and resonant frequency.

How is the resonant frequency of an RLC circuit determined?

The resonant frequency of an RLC circuit is determined by the values of the inductance and capacitance. At this frequency, the reactance of the inductor and capacitor cancel each other out, resulting in a peak in the circuit's impedance. It can also be calculated using the formula fr = 1/(2π√(LC)).

What is the purpose of converting input in an RLC circuit?

The purpose of converting input in an RLC circuit is to modify the input signal to achieve a desired output. This can include filtering out certain frequencies, amplifying the signal, or creating resonance at a specific frequency. RLC circuits are commonly used in electronic devices and systems to control and manipulate electrical signals.

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