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Electrical Engineering
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Show that 𝑔(𝑡) = 2𝑡*e^(−3𝑎*t)*𝑢(𝑡) signal's fourier transform is equal to

𝐺(𝑗Ω) = 2/(3𝑎 + 𝑗Ω)

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Kindly solve the below questions:

1. Assume the AC frequency is 50 Hz. Convert these phasors to signals (remember that phasor magnitudes are RMS values of the signals)

    (a) V = 115∠90V

    (b) I = 10 + 10j A

2.  Convert these signals to phasors (remember to us RMS values for the phasor magnitude)

    (a) v(t) = 230cos (314t + 20) V
 
    (b) i(t)  = 5cos (314t + 10) A

3. Suppose the voltage across a load is v(t) and the current drawn is i(t) where 

v(t) = 230cos (314t + 20) V

i(t)  = 5cos (314t + 10) A

   (a) calculate the complex power, real power, reactive power and apparent power.

   (b) calculate the power factor and indicate if it is leading or bagging

 

Q1. Consider a VLC (Visual Light Communication) system. In which LED is used as a Transmitter to send
the information and PD (Photo Detector) is used as a Receiver to decode the signal. Suppose you insert
a slowly varying information signal V(t) that is a voltage signal to the LED, which produces a time
varying light signal P(t). If the light signal is propagated through an ideal channel with no noise, it
produce a voltage signal at the PD VPD(t)= 3.5sin(20t + π/2).
1. Draw the important block diagram of the communication system.
2. Sketch or Label the IP/OP signals in the diagram.
3. Draw VPD(t)
4. Suppose that channel has an ambient light (Noise) which generated by another light source.
That noise is generated 1V DC voltage at the PD.It is a Noise and additive to the desired
signal.
Draw the block diagram of the new communication systems and Sketch or Label the IP/OP
signals in the diagram.
5. Draw VPD(t) with the additive noise.
6. Propose a method to eliminate this ambient light noise.

Consider a VLC (Visual Light Communication) system. In which LED is used as a Transmitter to send
the information and PD (Photo Detector) is used as a Receiver to decode the signal. Suppose you insert
a slowly varying information signal V(t) that is a voltage signal to the LED, which produces a time
varying light signal P(t). If the light signal is propagated through an ideal channel with no noise, it
produce a voltage signal at the PD VPD(t)= 3.5sin(20t + π/2).
1. Draw the important block diagram of the communication system.
2. Sketch or Label the IP/OP signals in the diagram.
3. Draw VPD(t)
4. Suppose that channel has an ambient light (Noise) which generated by another light source.
That noise is generated 1V DC voltage at the PD.It is a Noise and additive to the desired
signal.
Draw the block diagram of the new communication systems and Sketch or Label the IP/OP
signals in the diagram.
5. Draw VPD(t) with the additive noise.
6. Propose a method to eliminate this ambient light noise.

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