Electronics and Communication Engineering - Networks Analysis and Synthesis - Discussion

Why didn't square the 100 from 1 to 2? Explain this.

Nice explanation.

Why (100t) ^2 in a triangle and only 100t in rectangular? Explain, please.

Actually, in the first integration the ramp signal is taken so it is 100t and in second integration the step signal is taken 100 (magnitude).

The given signal consists of a ramp signal plus a dc signal.

The ramp signal has the RMS value of Vp/√(3).
the dc signal has the RMS value of dc value itself.
the total RMS value is;
√{(100^2)/3 + 100^2}.

This results 200/√(3).

Answer shoulld be 81.64.

RMS or root mean square is the SQUARE ROOT of an area of a specific function SQUARED times (1/2) because of the word MEAN or AVERAGE value. In the given curve, it is divided into two parts.

1. From t = 0 to t = 1, the function is V = 100t (as you can see the value of V is 0 at t = 0 and 100 at t = 1 OR just use point slope form).

2. From t = 1 to t = 2, the area is like a square with sides measuring 100 units.

Therefore:
vrms = √{(1/2)(A1 + A2)},
Where:
A1 = Integral (100t)^2 dt, t = 0 to t = 1.
A2 = Integral (100)^2 dt, t = 1 to t = 2.

RMS= Root of Mean of Square.

As per the given formula...from 1to 2 it is 100^2.
=> root{1/2[10^4 + 10^4x[1/3] ]}.
=>root{1/2[10^4x[4/3] ]}.
=>root{10^4 x 2/3}.
=>100 x root{2/3}.
=>81.someting.
= 80(approx).

From interval 1 to 2 it should be 100^2.

From 1 to 2 it should be 100^2.

And if we use 100^2 then answer is different.
And if we use 100 only still the answer is different.