What is the Impedance and Power Dissipation in an AC Circuit with a Generator?

AI Thread Summary
The discussion focuses on calculating impedance, rms current, average power dissipation, peak current, and peak voltages in an AC circuit with a generator. The circuit consists of a 0.300 H inductor, a 5.80 μF capacitor, and a 236 Ω resistor, with an rms voltage of 110 V at 60.0 Hz. Participants are seeking assistance particularly with calculating the peak voltages across the inductor and capacitor. There is a reminder to keep questions relevant to the original topic to avoid confusion in the forum. The importance of clear communication in forum discussions is emphasized to facilitate effective help.
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AC Circuits II: AC Power Generator

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.

Xc=457.34
Vrms=110
Z=4.17×10^2
 
Last edited:
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The equation you were given is for the electric field, though. Part B is asking about the magnetic field.
 
Thanks, I didn't see that one. I changed the forum to a different question. Do you think you can help me with this one?
 
I changed the forum to a different question.
Please don't change the questions.

If you have a further related question, then just add it.

If it's different then start a new thread. Otherwise, people may not pick up on the fact that your new question requires attention.
 
Oh sorry about that, I made a new one.
 
If it's different then start a new thread. Otherwise, people may not pick up on the fact that your new question requires attention.
It also makes any help given look like nonsense.

That'll teach me not to forget to quote it next time. :redface:
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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