How to draw a phasor addition on AC circuit?

AI Thread Summary
To draw phasor addition for two AC currents, one must represent the voltages as phasors: (4, 0°) and (3, 27°). The combined phasor can be calculated using the formula r=√(a²+b²), resulting in a peak voltage of approximately 6.81 volts. The real and imaginary components of the phasors are identified as 4 and 3cos27 for the real part, and 0 and 3sin27 for the imaginary part. Accurate representation of these components is essential for correct phasor addition. Understanding these calculations is crucial for analyzing AC circuits effectively.
maali5
Messages
35
Reaction score
0
How to draw a phasor ?

Homework Statement



Two alternating currents are applied out of phase with each other. One is 4 volts and the other is 3 volts 27° out of phase.

These can be written as (4, 0°) and (3, 27°)


Homework Equations



a)draw both phasors
b)draw the combined phasor between (0 degree and 360 degree)
c)label peak voltage and state its value



The Attempt at a Solution



a)A rough drawing on paint http://imageshack.us/photo/my-images/3/plotb.jpg/

b) I know A= 6.8106 volts by using this formula

r=√a2+b2

r=3cos27 + 4i + i(3sin 27)

r=√(3cos27 + 9)2 + (3sin27)2

=6.81v

angle=0.2014
 
Last edited:
Physics news on Phys.org
The drawing look OK, but I don't think you've got the right components. The real parts of the phasors are 4 and 3cos27 respectively. The imaginary parts are 0 and 3sin27 respectively.
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »

Similar threads

Complex-Phasor (Moved from physics)
Replies
12
Views
2K
Calculation of current in driven series RLC circuit
Replies
8
Views
2K
Phasor algebra in AC circuit analysis
Replies
1
Views
2K
AC circuit with two components given phase angle
Replies
1
Views
4K
Engineering Electrical Engineering - AC Circuits Phasors
Replies
2
Views
2K
Quick question on Parallel RLC circuit (Conceptual)
Replies
1
Views
1K
RLC circuit - total impedance,phasor analysis etc
Replies
4
Views
7K
Rlc problem: calculations of components and phasor drawing
Replies
3
Views
2K
"AC Circuit Analysis - Find i1(t) & i2(t)
Replies
2
Views
1K
How Do You Calculate Complex Impedance in AC Circuits?
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top