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The classical theory of electric and magnetic fields, both in the static and dynamic case. It also covers general questions about magnets, electric attraction/repulsion, etc. Distinct from electrical-engineering.

1 vote
Accepted

Inducing emf in a circular coil

According to Faraday's Law (ignoring Lenz's law, which isn't relevant here): $$\epsilon = \frac{\Delta N\phi}{\Delta t}$$ Therefore, the EMF ($\epsilon$) is proportional to the rate of change of mag …
Pancake_Senpai's user avatar
2 votes
3 answers
2k views

What causes magnetism?

Electric fields are caused by particles that have charge. Gravitational fields are caused by particles that have mass. What is the property of a particle that causes it to interact with a magnetic fie …
Pancake_Senpai's user avatar
0 votes
1 answer
108 views

A changing magnetic field passes through a wire loop but the loop itself is not in the field... [duplicate]

$$\nabla \times \vec{E} =-\frac{\partial{\vec{B}}}{\partial{t}}$$ Applying Stokes' theorem: $$\oint_{loop} \vec{E} \cdot d\vec{l}=\int_S -\frac{\partial{\vec{B}}}{\partial{t}} \cdot d\vec{S}$$ Wher …
Pancake_Senpai's user avatar
2 votes
1 answer
1k views

Putting a charged sphere in a uniform electric field - can we superpose the individual field...

Let's say we want to find the potential outside a charged metal sphere with total charge $q$ when it is placed in a uniform magnetic field $\vec{E}_0$. Infinitely far from all other charge, the charge …
Pancake_Senpai's user avatar
0 votes
1 answer
274 views

How to verify generally that the formula for electric potential is a solution to Poisson's e...

$$V(\vec{a})=\frac{1}{4 \pi \epsilon_0}\int_\tau \frac{\rho(\vec{r})}{l}d\tau$$ This is the formula for the potential at a general point $\vec{a}$. Note that $l$ in this formula is the magnitude of t …
Pancake_Senpai's user avatar
0 votes
2 answers
96 views

Why does $\vec{B}\cdot\frac{\partial \vec{B}}{\partial t}=\frac{1}{2}\frac{\partial}{\partia...

$$\vec{B}\cdot\frac{\partial \vec{B}}{\partial t}=\frac{1}{2}\frac{\partial}{\partial t} (B^2)$$ Griffiths states this result in his derivation of the Pontying vector, but I have absolutely no idea w …
Pancake_Senpai's user avatar
0 votes
1 answer
481 views

Taking into consideration the non-0 value of an equipotential in a method of images problem

If the infinite conducting plane in the diagram above is grounded, then $V=0$ on the plane and the image problem is easy to solve - just put the dotted $-q$ charge there and the $V=0$ equipotential …
Pancake_Senpai's user avatar
11 votes
4 answers
4k views

Is potential difference the same across each branch in a parallel circuit under ALL circumst...

If you place a cell with negligible internal resistance and an EMF of 5V in parallel with 2 resistors, as shown below, each resistor will have a potential difference of 5V across it. However, if yo …
Pancake_Senpai's user avatar