Question

Q2. How the following are related (equations/relations)? 20 marks CPU's power consumption and its capacity, voltage and Frequency and wave length Sine wave as periodic signal Fourier representation of periodic signal Wavelength and size of antenna Receiving power and distance

Answer 1

CPU’s power consumption and its capacity, voltage and frequency	There are several factors contributing to the CPU power consumption i.e. dynamic power consumption, short-circuit power consumption, and power loss due to leakage currents. The dynamic power consumed by a CPU is approximately proportional to the CPU frequency and to the square of the CPU voltage. P(dynamic) = CV2f Where C is capacitance, f is frequency, and V is voltage.
Frequency and wave length	The higher the frequency, the shorter the wavelength. λν=c Where λ is the wavelength, ν is the frequency and c is the speed of light.
Sine wave as periodic signal	Most basic form as a function of time (t) is: y(t) = A sin(2πft + ϕ)
Fourier representation of periodic signal	x(t)= (from n=-∞ to ∞)∑xˆn ei2πnt/T x(t) is a periodic function with period T
Wavelength and size of antenna	Normally it is kept at a height of wavelength/4
Receiving power and distance	Pr = PtGtGr (λ2/(4πd)2) Gt and Gr are the transmit and receive antenna gains , λ is the wavelength, d is the T-R separation, Pt is the transmitted power, Pr is the received power