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5 problems tagged with Magnetic Field in Magnetism
P0932
Beginner Electromagnetism › MagnetismForce direction on charged particles in magnetic fields
The figure shows four configurations of a charged particle moving with velocity $\vec{v}$ in a uniform magnetic field $\vec{B}$. A dot $(\cdot)$ in the figure represents a vector directed out of the page. Determine the direction of the magnetic force on the particle in each case.
- Charge $+q$ moves upward in the plane of the page; $\vec{B}$ is directed out of the page.
- Charge $+q$ moves to the right in the plane of the page; $\vec{B}$ is directed downward in the plane of the page.
- Charge $+q$ moves in the plane of the page with both rightward and downward components, making an angle with $\vec{B}$; $\vec{B}$ is directed to the right in the plane of the page.
- Charge $-q$ moves out of the page; $\vec{B}$ is directed upward in the plane of the page.
P0933
Beginner Electromagnetism › MagnetismMagnetic force on an electron at angles 30° and 60°
An electron is fired at speed $v = 1.2\times 10^{7}$ m/s into a uniform magnetic field of magnitude $B = 0.02$ T. Find the magnitude of the magnetic force on the electron when the angle between $\vec{v}$ and $\vec{B}$ is:
- $\theta_1 = 30^\circ$
- $\theta_2 = 60^\circ$
P0934
Beginner Electromagnetism › MagnetismMagnetic force on an electron in Earth's field
At a location in the Northern Hemisphere, the Earth's magnetic field has magnitude $B = 0.6\times 10^{-4}$ T, magnetic declination of $0$, and magnetic inclination (dip angle) of $70^\circ$. Find the magnitude and direction of the magnetic force on an electron moving at $v = 2.0\times 10^{6}$ m/s in each of the following directions:
- Velocity directed vertically downward.
- Velocity directed from south to north.
- Velocity directed from west to east.
P0935
Beginner Electromagnetism › MagnetismMagnetic force on a 5 MeV proton in a uniform field
A uniform magnetic field of magnitude $B = 1.5$ T points from east to west. A proton with kinetic energy $E = 5.0\times 10^{6}$ eV moves vertically downward through this field. The proton charge is $e = 1.6\times 10^{-19}$ C and the proton mass is $m = 1.7\times 10^{-27}$ kg. Find the magnitude and direction of the magnetic force on the proton.
P0936
Beginner Electromagnetism › MagnetismVelocity selector with crossed electric and magnetic fields
A velocity selector consists of a parallel-plate capacitor producing a uniform electric field, together with a uniform magnetic field perpendicular to the electric field (and perpendicular to the page). Electrons emitted from an electron gun $K$ along direction $KA$ enter the region with a range of speeds. Only electrons of a specific speed travel in a straight line and pass through the small hole $S$. The upper plate is at the positive terminal and the lower plate is at the negative terminal; the electrons move horizontally from left to right. The voltage between the plates is $U = 300$ V, the plate separation is $d = 5$ cm, and the magnitude of the magnetic field is $B = 6\times 10^{-2}$ T.
- Should the magnetic field point into the page or out of the page?
- What is the speed of the electrons that can pass through the hole $S$?
- If the particles passing through the selector are positively charged (instead of electrons), is it necessary to reverse the direction of either the magnetic field or the electric field? Is the speed of those particles passing through $S$ different from the electron speed found in (2)?
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