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Analog Electronics

The Voltage across the Capacitor is given by the formula:

Using the formula, calculate the time taken for the capacitor to charge to 1/2Vin Given that C=120NF R=47kOhms. Give your answer in milli-Seconds.

V_{c}=V_{i n}\left(1-e^{-\frac{t}{R C}}\right)

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Analog Electronics

The exponential Fourier series for someperiodic signal is given by

v(t)=\sum_{n=-\infty}^{\infty} \frac{5|n|}{n^{2}+1} \cdot e^{j 2 \pi 6000 n t}

n=-00if this signal is passed through a band-pass filter with cutoff frequencies fa =10000

\mathrm{HZ} \text { and } f_{C U}=20000 \mathrm{HZ} \text {. }

Plot the spectrum of the input signal from -20000 HZ to 20000 HZ.

b. Write down the equation for the output signal and plot the spectrum of the output signal.

c. How much power is contained in the input signal between -20000 HZand 20000 HZ and how much power is contained in the output signal?

d. What is the output signal bandwidth?

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Analog Electronics

2. A periodic signal has the following Fourier series representation

v(t)=\sum_{n=1}^{\infty} \frac{3}{2 n-1} \cos 2 \pi n 3000 t \text { is passed through an ideal low-pass filter with }

cutoff frequency of 11 KHZ.

Plot the spectrum of the input signal up to 20 KHZ.

b. Plot the spectrum of the output signal.

с.What is the output signal bandwidth?

d. Calculate the power contained in the output signal.

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Analog Electronics

1. Find the Fourier transform and plot the spectrum of the following signal

v(t)=4 \cos 2 \pi 5000 t \cdot \sin 2 \pi 10000 t

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Analog Electronics

2. (5 pts.) What is Nyquist's theorem? What problem do we encounter if we do not meet Nyquist's sampling rate?

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Analog Electronics

What are the main advantages/disadvantages on an R-2R DAC?

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Analog Electronics

Sketch the successive approximation ADC circuit and explain how it works.

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Analog Electronics

(5 pts.) Given an analog output signal whose voltage should range from 0 to 10V, and an 8-bitdigital encoding, provide the encodings for the following desired voltages: (a) OV, (b) 1V, (c) 5.33V,(d) 10V, what is the resolution of the conversion?

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Analog Electronics

-) Briefly describe the three main steps implemented in an Analog-to-Digital Converter.

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Analog Electronics

Now calculate the value of R2 given that the bias point is 1V, Supply Voltages 20V and the total resistance R1+R2 is 100k2ohms

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Analog Electronics

9)lf the circuit is required to have a gain of 30dBs and Rc=10KN, calculate the value of Re

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