P. 4262. An electron is shot at an initial speed of v0=4.107 m/s into a parallel plate condenser halfway between the plates. The distance between the plates and the length of the plates are unknown, and a constant voltage of U=500 V is applied between the plates. If a uniform magnetic field of induction B=6.25.10-5 Vs/m2 is also applied between the plates, in the appropriate direction, the electron goes through the plates without changing the direction of its motion, at a constant speed.
a) Determine the electric field between the plates of the parallel plate condenser.
b) Find the distance d between the plates.
c) If the magnetic field is ceased the speed of the electron increase by 6% when passes the condenser. What is the length of the plates L?
Deadline expired on 10 June 2010.
Google Translation (Sorry, the solution is published in Hungarian only.)
Megoldás. \(\displaystyle a)\) \(\displaystyle E=v_0B=2,\!5 \cdot10^3\) V/m,
\(\displaystyle b)\) \(\displaystyle d=U/E=0,\!2\) m,
\(\displaystyle c)\) \(\displaystyle L\approx1,\!3\) m.