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