AC Circuits II: AC Power Generator

AI Thread Summary
The discussion revolves around solving a homework problem related to an AC circuit with a generator, inductor, capacitor, and resistor. Key calculations include determining the circuit's impedance, rms current, average power, peak current, and peak voltages across the inductor and capacitor. The participant is specifically seeking assistance with calculating the peak voltages for parts E and F, having encountered errors in their previous attempts. They have calculated the capacitive reactance and the rms voltage but are unsure about the relationship between peak and rms voltage. Clarification on these calculations and the resonance frequency is also requested.
OsDaJu
Messages
17
Reaction score
0

Homework Statement



A An AC generator supplies an rms voltage of 110 V at 60.0 Hz. It is connected in series with a 0.300 H inductor, a 5.80 μF capacitor and a 236 Ω resistor.
What is the impedance of the circuit?

B What is the rms current through the resistor?

C What is the average power dissipated in the circuit?

D What is the peak current through the resistor?

E What is the peak voltage across the inductor?

F What is the peak voltage across the capacitor?

G The generator frequency is now changed so that the circuit is in resonance. What is that new (resonance) frequency?

Homework Equations



Z=[R^2+(XL-Xc)^2]^(1/2)
XL=2pifL
Xc=1/(2pifc)

Part E: VL=[(2^.5)*Vrms]/Z
Part F: VL=[(2^.5)*Vrms]/Xc

The Attempt at a Solution



I need help for part E and F

I substituted the numbers in the equation and I got the wrong answer. Can someone point me in the right direction?

Xc=457.34
Vrms=110
Z=4.17×10^2
 
Last edited:
Physics news on Phys.org
Vrms across C = Irms* Xc
Now what is the relation between peak voltage and rms voltage?
 
Thank you!
 

Thread 'Errors and significant figures'

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...
View full post »
Thread 'A cylinder connected to a hanging mass'

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...
View full post »

Similar threads

Combined tensions of an RLC series circuit with AC current
Replies
3
Views
836
What is the Impedance and Power Dissipation in an AC Circuit with a Generator?
Replies
5
Views
2K
Current through source in AC circuit with R & LC in parallel
Replies
2
Views
3K
The potential difference across an inductor
Replies
9
Views
10K
Calculating Impedance of a RLC Circuit Connected to a 60 Hz AC Source
Replies
2
Views
2K
How to find supply frequency of an AC circuit
Replies
6
Views
15K
Finding Maximum Power in an AC Circuit
Replies
12
Views
5K
Why don't voltages add up numerically in an LCR AC circuit?
Replies
5
Views
3K
Verifying Kirchoff's law in an AC RLC circuit
Replies
7
Views
2K
Investigating Voltage, Capacitance & Resonance in DC/AC Circuits
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top