- #1
Hak
- 709
- 56
- Homework Statement
- A semi-infinite solenoid with a coil radius ##r## and a winding density ##n## (the number of coils per unit length) is located coaxially with a circular superconducting coil of radius ##R## so that its base is in the plane of the coil. It is known that ##r \ll R## . Initially, there was no current in the coil. The inductance of the coil is equal to ##L##. The current strength in the solenoid is slowly increased from zero to ##I## 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 ##x## axis as shown in the figure.
1. Points ##A## and ##C## are located in the plane of the coil at distances ##\frac{r}{3}## and ##3r##, respectively, from the axis of symmetry of the system. Find the projections of induction ##B_{A_x}## and ##B_{C_x}## of the magnetic field generated by the solenoid at points ##A## and ##C##, 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.
Figure: https://ibb.co/R393bBJ
- Relevant Equations
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I have no idea how to deal with the problem. Do you have any hints, please?