- #1
alanchakhin
- 2
- 0
I am just wondering what is the proof of the equation
2*pi*f = 1/√(LC)
2*pi*f = 1/√(LC)
Proof of natural frequency in RCL circuit
- Thread starter alanchakhin
- Start date
AI Thread Summary
The equation 2*pi*f = 1/√(LC) describes the resonant frequency of an ideal RCL circuit, derived from the differential equation governing charge flow. The resonant frequency occurs when the inductive reactance (XL) equals the capacitive reactance (Xc). This condition is expressed as 2∏fL = 1/2∏fC, which leads to the voltage being in phase with the current. Resources were shared to further explain the differential equation related to this topic. Understanding these relationships is crucial for analyzing RCL circuits effectively.
I'm thinking about the following problem. I have an electrified fluid with a constant charge density, Q, within the fluid. Will this necessarily yield a surface charge?
Would I have to compute it by looking at the displacement fields on either side of the interface? Would it change if the bulk charge within the fluid remains constant?
This is from Griffiths' Electrodynamics, 3rd edition, page 352.
I am trying to calculate the divergence of the Maxwell stress tensor. The tensor is given as ##T_{ij} =\epsilon_0 (E_iE_j-\frac 1 2 \delta_{ij} E^2)+\frac 1 {\mu_0}(B_iB_j-\frac 1 2 \delta_{ij} B^2)##. To make things easier, I just want to focus on the part with the electrical field, i.e. I want to find the divergence of ##E_{ij}=E_iE_j-\frac 1 2 \delta_{ij}E^2##.
In matrix form, this tensor should look like this...
Please can anyone either:-
(1) point me to a derivation of the perpendicular force (Fy) between two very long parallel wires carrying steady currents utilising the formula of Gauss for the force F along the line r between 2 charges?
Or alternatively (2) point out where I have gone wrong in my method?
I am having problems with calculating the direction and magnitude of the force as expected from modern (Biot-Savart-Maxwell-Lorentz) formula.
Here is my method and results so far:-
This...
Similar threads
Hot Threads
-
I Explain Bernoulli at the molecular level?
- Started by user079622
- Replies: 251
- Classical Physics
-
B Simple mass/scale puzzle
- Started by DaveC426913
- Replies: 206
- Classical Physics
-
I Solving a momentum problem where masses change after the collision
- Started by rdemyan
- Replies: 35
- Classical Physics
-
I Topic about physics axioms, theory, laws etc..
- Started by user079622
- Replies: 93
- Classical Physics
-
I Two kinds of pressure
- Started by Demystifier
- Replies: 24
- Classical Physics
Recent Insights
-
Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality
- Started by Greg Bernhardt
- Replies: 8
- Quantum Physics
-
Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect
- Started by Greg Bernhardt
- Replies: 11
- Quantum Physics
-
Insights What Exactly is Dirac’s Delta Function? - Insight
- Started by Greg Bernhardt
- Replies: 5
- General Math
-
Insights Relativator (Circular Slide-Rule): Simulated with Desmos - Insight
- Started by Greg Bernhardt
- Replies: 1
- Special and General Relativity
-
Insights Fixing Things Which Can Go Wrong With Complex Numbers
- Started by PAllen
- Replies: 11
- General Math
-
Insights Fermat's Last Theorem
- Started by fresh_42
- Replies: 105
- General Math