318. Semi-infinite solenoid and super conducting disc
Inviato: 3 set 2023, 21:00
A semi-infinite solenoid with a coil radius and a winding density (the number of coils per unit length) is located coaxially with a circular superconducting coil of radius so that its base is in the plane of the coil. It is known that . Initially, there was no current in the coil. The inductance of the coil is equal to . The current strength in the solenoid is slowly increased from zero to and then maintained constant. The wires supplying current to the solenoid are arranged in such a way that their magnetic field and their interaction with other elements can be neglected. Let's direct the axis as shown in the figure.
1. Points and are located in the plane of the coil at distances and , respectively, from the axis of symmetry of the system. Find the projections of induction and of the magnetic field generated by the solenoid at points and , respectively.
2. FInd current strength in the coil. Which direction is it directed?
3. Find the magnitude and direction of the magnetic interaction force acting on the solenoid from the side of the coil.
Picture: https://ibb.co/R393bBJ
1. Points and are located in the plane of the coil at distances and , respectively, from the axis of symmetry of the system. Find the projections of induction and of the magnetic field generated by the solenoid at points and , respectively.
2. FInd current strength in the coil. Which direction is it directed?
3. Find the magnitude and direction of the magnetic interaction force acting on the solenoid from the side of the coil.
Picture: https://ibb.co/R393bBJ