(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The relationship between the input voltage V(t) and the output voltage across a resistor V_{R}(t) is:-

CR dV_{R}/dt + V_{R}= CR dV/dt

Circuit diagram of a capacitor and resistor with V_{R}(t) in series across V(t)

1. Show that the frequency response function G(iw) (w= omega) is given by G (iw) = iwCR/ (1 + iwCR)

2.Sketch the locus of the frequency response function, G(iw) (w= omega) on the argand diagram.

2. Relevant equations

CR dV_{R}/dt + V_{R}= CR dV/dt

G (iw) = iwCR/ (1 + iwCR)

3. The attempt at a solution

1. I got this G (iw) = iwCR/ (1 + iwCR) by voltage division, from the circuit, but how could I do that from the given equation?

2. By taking the real and imaginary parts; G(iw) = x + iy

x = (wcr)^{2}/(1 + (wcr)^{2})

y = wcr/ ( 1 + (wcr)^{2})

G(iw) = (wcr)^{2}/(1 + (wcr)^{2}) + iwcr/ ( 1 + (wcr)^{2})

I'm having trouble eliminating wcr now...

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# Homework Help: Frequency response function

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