Final answer:
The question is a physics problem involving the calculation of the magnetic field inside a solenoid and the current flowing through it, based on data provided for an electron moving in a circular path within the solenoid.
Step-by-step explanation:
This question involves an electron moving in a circular path within a solenoid, and it requires understanding both the magnetic force on a moving charge and the magnetic field created by a solenoid. Given the speed of the electron, the radius of its circular path, and the number of turns per centimeter in the solenoid, one can find the magnetic field strength using the Lorentz force equation and then determine the current running through the solenoid.
To solve for the magnetic field inside the solenoid, one can use the formula B = (μ₀ * n * I), where μ₀ is the permeability of free space, n is the number of turns per meter, and I is the current. The strength of the magnetic field determines the centripetal force required for the electron to maintain its circular path. To find the current I in the solenoid, the formula can be rearranged: I = B / (μ₀ * n). To calculate n, the number of turns per meter, we must convert the given number of turns per centimeter to turns per meter.