Charged Particles in Magnetic Fields

The video tutorial explains the force on a charged particle moving through a magnetic field, using the right-hand rule to determine the direction of force. It discusses the curved path of the particle due to the Lorentz force and factors affecting the path's radius, such as velocity, magnetic field strength, mass, and charge. The tutorial derives the equation for the radius and solves an example problem. It concludes with an introduction to mass spectrometry.

What is the direction of the force on a positively charged particle moving to the right in a magnetic field directed into the page?

• To the left

• Downwards

• To the right

• Upwards

What path does a charged particle follow when it enters a magnetic field?

• Straight line

• Parabolic path

• Elliptical path

• Circular path

Which factor is directly proportional to the radius of the path of a charged particle in a magnetic field?

• Magnetic field strength

• Charge of the particle

• Velocity of the particle

• None of the above

How does increasing the magnetic field strength affect the radius of the particle's path?

• Increases the radius

• Decreases the radius

• No effect on the radius

• Reverses the direction of motion

What is the relationship between the mass of a particle and the radius of its path in a magnetic field?

• Directly proportional

• Inversely proportional

• No relationship

• Exponentially related

Which equation is used to calculate the radius of a charged particle's path in a magnetic field?

• F = ma

• R = mv/qB

• E = mc^2

• V = IR

What force is responsible for the circular motion of a charged particle in a magnetic field?

• Gravitational force

• Electrostatic force

• Centrifugal force

• Lorentz force

In the context of the video, what happens to the path of a charged particle if its charge is reversed?

• The path becomes linear

• The path direction reverses

• The path becomes parabolic

• The path remains unchanged

What is the radius of the path for a particle with a charge of 5 x 10^-4 C, velocity of 1 x 10^3 m/s, mass of 2 x 10^-19 kg, and magnetic field strength of 0.2 T?

• 6 cm

• 8 cm

• 4 cm

• 2 cm

What scientific instrument is mentioned as using the principles discussed in the video?

• Mass spectrometer

• Spectrophotometer

• Voltmeter

• Oscilloscope