Magnetic Force on a Moving Charge In a Magnetic Field

TL;DR

A proton moving north in a 5 Tesla magnetic field directed west experiences a magnetic force directed out of the page.

Transcript

a proton moves north with a speed of two times ten to the sixth meters per second a five tesla magnetic field is directed west determine the magnitude and direction of the magnetic force acting on a proton so let's start with a picture so let's say this is the proton and it's moving north now the magnetic field is directed west so first let's deter... Read More

Key Insights

• 🫱 The direction of the magnetic force on a moving proton can be determined using the right hand rule or cross product analysis.
• 🏑 The magnitude of the magnetic force is determined by the velocity, magnetic field strength, and charge of the proton.
• 🔺 The angle between the velocity and magnetic field affects the sine of the angle, which is included in the formula for magnetic force.
• 💦 The magnetic force on a proton does not do any work on the particle and does not change its speed.

Questions & Answers

Q: How can the direction of the magnetic force on a moving proton be determined?

The direction can be determined using the right hand rule or by performing the cross product of the velocity and magnetic field vectors. In this case, the force is directed out of the page.

Q: How does the magnitude of the magnetic force on a proton depend on its velocity and charge?

The magnitude of the magnetic force is directly proportional to the velocity and charge of the proton. It can be calculated using the formula F = Bqv.

Q: What is the significance of the angle between the velocity and magnetic field in determining the magnetic force?

In this case, the angle is 90 degrees, which means that the sine of the angle is 1. If the angle is not 90 degrees, the sine of the angle must be calculated and included in the formula for magnetic force.

Q: How does the direction of the magnetic force on a proton differ from that on an electron?

The direction of the magnetic force on a proton is determined by the right hand rule and is directed out of the page. On the other hand, the force on an electron is directed into the page.

Summary & Key Takeaways

• A proton moving north in a magnetic field directed west experiences a magnetic force directed out of the page.

• The direction of the force can be determined using the right hand rule or by cross product analysis.

• The magnitude of the magnetic force can be calculated using the formula F = Bqv, and is found to be 1.6 x 10^-12 Newtons.