Electronics and Communication Engineering - Networks Analysis and Synthesis - Discussion

It is because of the gravity of the earth.

Please derive that formula.

Great explanations, thanks all of you.

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.

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

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).

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.

Answer shoulld be 81.64.

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).

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).