why does the voltage of the capacitor eventually go to 0 when discharging the capacitor? I heard that's because "current starts flowing when discharging", but how exactly does that lead to V going down? I know that I = C * dV/dt, but that doesn't seem to help me understand why V goes down (which...
I have some difficulties in solving this problem. This is what I did.
I wrote down the equation of motion for the masses. For the first point
\begin{equation}
m\ddot{\textbf{r}}_1=\textbf{F}_1=q\dot{\bar{\textbf{r}}}_1\times...
Assume that a certain charge distribution ##\rho## generates an electrical field ##E_{ext}## in the surrounding space. We also note the corresponding generated potential ##V_{ext}##.
Assume furthermore that a conductor A, with a definite shape and volume, is placed in field ##E_{ext}##, and is...
I first calculated the charge each capacitor has after its directly charged by the 36 V battery.
##Q_1 = C_1 * V = (2 \mu F) * 36 V = 72 \mu C##
##Q_2 = C_2 * V = (5 \mu F) * 36 V = 180 \mu C##
##Q_3 = C_3 * V = (7 \mu F) * 36 V = 252 \mu C##
Then these capacitors connect in series, so I...
I'm trying to better understand the physics of how earth ground works.
In circuit analysis and other electronic courses they usually present a conceptual picture like below where the earth is viewed as a path that completes a circuit? In this conceptual view, the current travels on the...
The charges are q1,q2 & q. P,Q,O1,O2 refer to positions only. This is a conducting sphere with cavities containing charges.
I'm interested in knowing how the charge should be distributed in the sphere. I know the charges induced on the charges of the sphere should be equal and opposite to the...
Modern batteries use double-sided anode and cathodes for greater energy density. Series wiring of batteries is typically accomplished by connecting the anode of one cell to the cathode of another. However, can series be accomplished by stacking double-sided anode and cathode alternatingly with...
Well i don't you to solve the question for me but I want you to clarify the concepts pertaining to this question. My question is how do I write a equation for the circuit since the there is same charge on one of the capacitors. While writing the equation should i put the voltage across the...
The answer according to the key is C. I thought the answer would be E since the electric field inside a conductor is always zero. Can someone explain why the answer is C?
I am needing clarification for a concept. I understand that electrons carry a negative charge and that protons carry a positive charge. I also understand that a plastic rod picks up electrons when I rub it with a piece of wool. From the conservation of charge, the piece of wool must have a...
I found two formulas to calculate the work done. One is with this path integral:
## W_{AB}## = W(## r_A,r_B ##)=q* ## \int_{r_A}^{r_B} E*dr ##
but here is the one I tried to use:
## W_{AB}## = q*Δ U = q*(## \frac {kQ} {r_A} ## - ## \frac {kQ} {r_B} ## )
Now heres my problem, what are...
If for example I have two charged particles q_1 , q_2 with distance 'r' between them, then:
The potential energy that results from particle q_1 exerting force on particle q_2 is $$ k\frac{q_1 q_2}{r} $$
If I do the same process for particle q_2:
The potential energy that results...
I am performing some calculations but struck with confusion whether I am doing it correct or wrong due to contradictions of these calculations on different calculators websites. I hope here someone will help me with the validation of my calculations.
Battery Capacity = 150 Ah
Battery...
Hello, there are a couple things about magnetism that I do not understand.
1. Why didn't we define the magnetic field to be in the directions of the force? This isn't really a technical question, I am just more curious about why it is this way. The way I was thinking of it, the math seems to...
Homework Statement
A cork ball is suspended at an angle from the vertical of a fixed cork ball below. The mass of the suspended ball is 1.5x10^-4 kg. The length of the suspension thread is .1m. The fixed ball is located .1m directly below the point of suspension of the suspended ball. Assume...
Homework Statement
A charge q is placed at one corner of a cube. What is the value of the flux of the charge's electric field through one of its faces?
Homework Equations
The flux surface integral of an electric field is equal to the value of the charge enclosed divided by the epsilon_naught...
Homework Statement
Consider a charged body of finite size, (\rho=0 outside a bounded region V). \vec{E} is the electric field produced by the body. Suppose \vec{E} \rightarrow 0 at infinity. Show that the total self-force is zero: \int_V \rho \vec{E} dV = \vec{0}, i.e. the charged body does not...
Homework Statement
link: https://ibb.co/Xy9s6DR
What is the magnitude of this force?
Homework Equations
Coulomb's Law
Trig equations
The Attempt at a Solution
(.05 m)xcos(60)=0.025m (the distance between the two known charges)
F(between the two known...
Homework Statement
A charge Q is uniformly distributed throughout a nonconducting sphere of radius R. Write the expression of the charge density in the sphere?
Homework Equations
Charge density ρ=dQ/dV
Gauss's Law ∫EdA = E(4ϖr^2)
The Attempt at a Solution
If Q is uniform then ρ=Q/dV and the...
When a nucleus is placed inside an external magnetic field, it aligns itself parallel to the field, as that is the most stable position for it to be in. In more technical terms: it acquires an alpha spin.
When you shine radio waves at this nucleus, it absorbs energy and flips over anti-parallel...
So the work done when charging up a capacitor is ##dW=VdQ##
However, when we add a charge ##dQ## to the capacitor, ##V## also changes accordingly, so I was wondering why the work done wasn't written as ##dW=VdQ+QdV## (one that also takes into account t he change in ##V##).
Thanks in advance.
In this derivation:
https://cpb-us-e1.wpmucdn.com/sites.northwestern.edu/dist/8/1599/files/2017/06/taylor_series-14rhgdo.pdf
they assume in equation (8) that x >> a in order to use the Taylor Expansion because a/x has difficult behavior. Why does that assumption work? Meaning, why can we...
Homework Statement
An antimuon and electron may bind together via Coulomb attraction and then decay, but is the following process possible? (µ+e-) → νe + νµ_bar
*The νµ_bar is the antiparticle of the muon neutrino - the antimuon neutrino
More than one answer (below) may be correct.
a)...
I have a simple two-part question, or two simple questions.
1. What is energy?
2. What is charge?
The charge I'm referring to is the charge on charged subatomic particles. And atom's charge is defined by the number of electrons and protons present in it. But an electron itself is called a...
If voltage is the difference in charge between 2 points, then why for a capacitor of a larger area or thinner dielectric cross section, do they say that it can store more charge given the same apppied voltage? Isnt voltage the difference in charge between 2 points? So if you can store more...