Analytical & Computational Methods

Analytical & Computational
Methods

Table of Contents
TASK 1............................................................................................................................................1
TASK 2............................................................................................................................................2
TASK 3............................................................................................................................................3
PART 1........................................................................................................................................3
PART 2........................................................................................................................................3

TASK 1
a) Given equation of current waveform as –
is = 13 cos (2πft – π/4) [A]
where, f = 1 Hz and t represents time
Transforming the given equation into t as –
t = cos-1 (is/13) + π/4
2πf
when is = +10A then, t will be
t = cos-1 (10/13) + π/4
2π. 1
= 0.69 + 45
2 x 180
= 0.13 sec
b) The instantaneous value of a power signal is
12 ∟(3π/8) [W]
here, W is units
From given equation, it has been evaluated that 12 is magnitude and 3π/8 represents argument
then, horizontal component of the signal = cos 3π/8
= -0.04
while, vertical component of the signal = sin 3π/8
= -0.99
1