Imagine you shoot an electron beam down the center of an ideal solenoid carrying current I. Which of the following will happen?
a)magnitude of the field outside the solenoid will increase.
B) The magnitude of the field outside the solenoid will decrease.
C) The electron beam will be deflected out of the solenoid.
d) The direction of the field inside the solenoid will stay the same.
d) is wrong!
To determine what will happen when an electron beam is shot down the center of an ideal solenoid carrying current I, we need to understand the behavior of electric and magnetic fields.
The ideal solenoid is a long, cylindrical coil of wire tightly wound in the form of a helix. When a current passes through the solenoid, a magnetic field is generated inside it.
The magnetic field inside the solenoid can be determined using Ampere's Law, which states that the integral of the magnetic field around a closed loop is equal to the product of the permeability of free space and the total current passing through the loop.
Since there is a current passing through the solenoid, a magnetic field is generated inside, pointing along its axis. The direction of the magnetic field can be determined using the right-hand rule, where if you curl the fingers of your right hand in the direction of the current, your thumb will point in the direction of the magnetic field.
Now, when an electron beam is shot down the center of the solenoid, it is comprised of charged particles moving through space. Charged particles moving through a magnetic field experience a force due to the Lorentz Force Law, which states that the force experienced by a charged particle moving with velocity v in a magnetic field B is given by the formula F = qvBsinθ, where q is the charge of the particle.
In this case, the electron beam consists of negatively charged particles (electrons) moving downward through the solenoid. The direction of the magnetic field inside the solenoid is determined by the right-hand rule, as described earlier. Since the electrons are negatively charged, they will experience a force in the opposite direction of the magnetic field, causing them to be deflected away from the straight path.
Therefore, the correct answer is:
C) The electron beam will be deflected out of the solenoid.