帮我解答这个题目并且介绍相关知识，让我掌握这类问题---**Question Text:**
10. 已知在一磁感强度为B的磁场中存在一光滑双轨，左端接人电容C，两机械臂1和机械臂2 (可视为杆)，质量均为m，两机械臂接人磁场中的长度均为L，电阻均为R。机械臂1的初速度为v₀，机械臂2静止，两者不相撞。求：
(1)初始时刻机械臂1的感应电动势大小和感应电流方向；
(2)在达到稳定前，两机械臂电流分别为I₁和I₂，求此时两机械臂所受安培力的大小，以及此时电容器电荷量的表达式；
(3)稳定时的速度和两棒间初始距离的最小值。
**Diagram Description:**
* **Type:** Schematic diagram illustrating a physics setup involving conducting rails, a capacitor, mechanical arms (rods), and a magnetic field.
* **Main Elements:**
* Two parallel horizontal lines representing smooth double rails.
* On the left end, a symbol representing a capacitor (two parallel lines). One plate is connected to the top rail, and the other to the bottom rail.
* A rectangular region marked by vertical lines, indicating a uniform magnetic field.
* Within this rectangular region, many 'x' symbols are placed, indicating a magnetic field directed into the page.
* Two vertical lines within the magnetic field region represent "机械臂1" (Mechanical Arm 1) and "机械臂2" (Mechanical Arm 2). Mechanical Arm 1 is to the left of Mechanical Arm 2 within the magnetic field.
* Labels: "机械臂1" is placed near the left vertical line within the magnetic field. "机械臂2" is placed near the right vertical line within the magnetic field.
**Additional Text:**
* Problem number: 10
* Given parameters: Magnetic field strength B, smooth double rails, capacitor C, mechanical arms 1 and 2 (regarded as rods), mass of both arms m, length of arms in magnetic field L, resistance of both arms R. Initial velocity of arm 1 is v₀, arm 2 is at rest, they do not collide.
* Questions:
* (1) Magnitude of induced electromotive force and direction of induced current for mechanical arm 1 at the initial moment.
* (2) Before reaching stability, the currents in the two mechanical arms are I₁ and I₂, respectively. Find the magnitude of the Ampere force on both mechanical arms at this moment, and the expression for the charge on the capacitor at this moment.
* (3) The velocity when stable and the minimum initial distance between the two rods.