What Happens to Average Power in an RLC Circuit at Resonance?

8614smith
Messages
49
Reaction score
0

Homework Statement



4.) Determine the average power in an RLC circuit. Derive an expression for the resonance frequency in terms of L and C. Is the average power a maximum or a minimum at the resonance frequency?

Homework Equations





The Attempt at a Solution


I have circled in red the part that is giving me trouble, all the rest of the solution i can do, is that part some identity or rule i am missing?
EM6Q4-1.jpg
 
Physics news on Phys.org
this picture is probably a bit easier to see...

EM6Q4-3.jpg
 
Thread 'Need help understanding this figure on energy levels'

Thread 'Need help understanding this figure on energy levels'

This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
View full post »
Thread 'Understanding how to "tack on" the time wiggle factor'

Thread 'Understanding how to "tack on" the time wiggle factor'

The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
View full post »

Similar threads

About the definition of resonance frequency
Replies
40
Views
5K
Series RLC Circuits: Resonant Frequency of 60° at 40 Hz
Replies
8
Views
3K
Resonant frequency of L - R||C circuit
Replies
21
Views
1K
Calculating Half Power Frequencies in RLC Circuits
Replies
9
Views
6K
What causes the peak in the thermal noise spectrum of an RLC circuit?
Replies
15
Views
2K
RLC Circuits - Q Factor and Amplitude
Replies
3
Views
2K
Changing values of R in a RLC series circuit
Replies
1
Views
11K
Measuring the inductance of a micron feature size gold coil
Replies
5
Views
2K
RLC Low-Pass Circuit: Find Current in Resistor
Replies
1
Views
3K
Resonant RLC circuit and in inductance
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top