Recent content by ghostfolk

Homework Statement The Hamiltonian for a single diatomic molecule of identical atoms is given as $$H=\dfrac{\vec{p_1}\cdot\vec{p_1}}{2m}+\dfrac{\vec{p_2}\cdot\vec{p_2}}{2m}+\dfrac{K}{2}(\vec{r_1}-\vec{r_2})\cdot(\vec{r_1}-\vec{r_2})$$. Find the grand canonical partition function for a gas of...

Ohh okay. You see in the textbook I was reading, it made no distinction as to whether or not the circuit was open.

So how do I know they started in a straight line?

But if the net force on the charges are zero, shouldn't the charges move about randomly cancelling out any current?

I got it from Griffiths' Introduction to Electrodynamics. I know that would imply the charges are still moving, but how do I know that current is being produced?

In a circuit there are two forces that act on the charges to keep the current uniform through out, ##\vec{f}=\vec{E}+\vec{f_s}##, where ##\vec{E}## is the electrostatic field and ##\vec{f_s}## is the electric field produced by chemical reactions. Inside an ideal battery, ##\vec{E}## and...

The only thing I find confusing is that often the emf is defined as the work done per charge. Yet, we can say that a magnetic field produces an emf. So to me it sounds weird that we can say that magnetic field does work on the charges when it isn't. I know the work is being done by another...

Speaking of batteries, do you think you can explain to me why that in an ideal battery the emf and the potential difference are equal?

I was told that the electric potential and the emf are different things

Now we call the electric potential emf when the source is from something other than an electrostatic field right?

Well isn't the emf the work per unit charge? From the emf equation looks a lot like the work equation ##\mathscr E=\oint f_s \cdot d\ell##. Also, some reading online has made it appear that way.

I was under the impression that an emf is the work done per charge by any source that is not electrostatic. However, there are such things such as emfs produced by varying magnetic fields. Being that magnetic fields never do work, what is an appropriate way of thinking of an emf?

I guess I should've stated that the textbook focuses on the series in the parenthesis because the answer for the height is indeed ##(\dfrac{2}{3})^{10}##

Homework Statement A ball is dropped from one yard and come backs up ##\dfrac{2}{3}## of the way up and then back down. It comes back and ##\dfrac{4}{9}## of the way. It continues this such that the sum of the vertical distance traveled by the ball is is given by the series...

So the act of moving the circuit gives the electrons momentum and that is what allows the magnetic field to move charges?