The voltage between the two plates of capacitor C is: U=R2ER 1+R2=4V?
(2) According to the kinetic energy theorem, qu = 12mv2.
Charged particles do uniform circular motion in the magnetic field, and Lorentz force provides centripetal force, that is, qVB2=mV2R. ..
Because there is no loss of electricity and energy when charged particles collide with the cylinder wall, the particle velocity is constant before and after each collision, and the velocity direction is always along the radius of the cylinder. The four collision points and the hole A just bisect the cylinder wall, and the trajectory of particles in the cylinder is symmetrical and consists of five identical arcs. If the central angle of each trajectory arc is θ, it can be obtained from the geometric relationship: RR = Tan (θ 2).
There are two situations that meet the meaning of the question (pictured):
(1) Case 1: The central angle θ = π of each trajectory arc? 2π5=3π5.
Get: B2 = tan3π 10× 10? 3T
(II) Case 2: The central angle corresponding to each trajectory arc is θ′ = π? 4π5=π5.
Replace the data with: = tan (π 10) × 10? 3? (T)。
Answer: (1) The induced electromotive force of the metal coil is 6V, and the voltage between the two plates of capacitor C is 4V.
(2) magnetic induction B2 = tan3π 10× 10? 3T or B2 = Tan (π 10) × 10? 3? (T)。