Currents and Phase relation in AC circuit with L, R, and C.

AI Thread Summary
The circuit analysis involves determining the currents I1, I2, and I3 based on a 100-volt voltage source producing a waveform of 100 cos(120 pi t) volts. To solve the problem, it is essential to convert all impedances and the voltage source into phasors, using complex numbers for analysis. The impedance of the inductor (Z_L) is represented as jωL, where j is the imaginary unit and ω is the angular frequency. Understanding the phase relationship between the applied voltage and current I3 is also crucial. This approach will provide clarity on the current values and their phase relations in the AC circuit.
risendemon
Messages
8
Reaction score
0

Homework Statement



The voltmeter in the circuit sketched in the link below reads 100 volts. What currents would ammeters indicate for I1, I2, and I3? What is the phase relation between the applied voltage and I3?

http://i43.photobucket.com/albums/e394/risendemonx/prob3pic.jpg


Homework Equations



This is what I need help with, actually...

The Attempt at a Solution



So, I don't really want help in solving the problem, I just need a push in the right direction. Mostly something along the lines of what equations I need, or how to start going about looking at this problem. Anything at all will help me immensely

thanks a bunch!
 
Last edited by a moderator:
Physics news on Phys.org
Here's a hint: The voltage source produces a waveform of 100 cos(120 pi t) volts.

- Warren
 
need to convert all impedances and source into phasors (complex number) first and do the usual circuit analysis with complex numbers.

eg: Z_L = j \omega L where j=\sqrt{-1} and \omega is angular frequency.
 
thanks so much both of you for your help! :-)
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top