Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem P. 4647. (May 2014)

P. 4647. An ,,observer'' moving at a speed of $\displaystyle \boldsymbol v_0$ in uniform magnetic field of magnetic induction of $\displaystyle {\boldsymbol B}_0$, detects an electric field of $\displaystyle {\boldsymbol E}_0= {\boldsymbol v}_0\times {\boldsymbol B}_0$, if $\displaystyle v_0\ll c$.

Does the opposite phenomenon exist? Does the observer moving in uniform electric field detect magnetic field? (Only high-school knowledge is to be used.)

(5 pont)

Deadline expired on June 10, 2014.

Sorry, the solution is available only in Hungarian. Google translation

Megoldásvázlat. A homogén elektromos teret pl. egy nagyméretű síkkondenzátor hozhatja létre. A mozgó megfigyelő a kondenzátorlemezek mozgó töltéséből számolt áram mágneses terét észleli: $\displaystyle {\boldsymbol B}_0= -\left({\boldsymbol v}_0\times {\boldsymbol E}_0\right)/c^2,$ ahol $\displaystyle c=\sqrt{ {1}/ \left(\mu_0\varepsilon_0\right)}$ a vákuumbeli fénysebesség.

### Statistics:

 10 students sent a solution. 5 points: Fekete Panna, Juhász Péter. 4 points: Sal Kristóf. 3 points: 1 student. 1 point: 6 students.

Problems in Physics of KöMaL, May 2014