Electric Circuit Analysis: Unit I: b. Basic circuits analysis
Worked examples [Average value, RMS value]
Basic circuits analysis
Electric Circuit Analysis: Unit I: Basic circuits analysis : Worked examples
WORKED EXAMPLES
Example
1 Find the average value and root mean square value of the waveform shown
below.
Solution:
It
is a rectangular waveform and is symmetrical one. Hence we have to consider only
half cycle.
Vave
= Area of waveform for half cycle / Base
=
vm × π / π
Squared
waveform
Note:
Observe the average and r.m.s values. They are equal. It is true only in case
of rectangular waveforms. In all other cases r.m.s value is always greater than
average value.
Example
2 For the trapezoidal waveform shown in the figure, determine (a) Average
value, (b) R.M.S value
Solution:
Let us apply here a graphical method. since it is symmetrical wave form we have
to take only half cycle.
Note:
We can apply the analytical method for the same problem. The equations for the
wave form consists of three parts.
Part
1: Equation of straight line from O to A.
Part
2: Equation of straight line from A to B
Part
3: Equation of straight line from B to C
Example
3 Find the r.m.s. value of the resultant current in wire which carries
simultaneously a direct current of 10A and a sinusoidal current of peak value
of 10A.
Solution:
Electric Circuit Analysis: Unit I: b. Basic circuits analysis : Tag: : Basic circuits analysis - Worked examples [Average value, RMS value]
Electric Circuit Analysis: Unit I: b. Basic circuits analysis
Under Subject
Electric Circuit Analysis
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