Force on a Moving Charge Problem 1 - Magnetic Forces, Materials and Inductance

TL;DR

This content discusses the calculation of the force exerted on a moving charge in the presence of magnetic and electric fields.

Transcript

hello friends welcome back to the subject electromagnetic field theory we are in chapter number eight that is magnetic forces materials and inductance we have seen the first topic force on a moving charge and we have a simple formula to find the force exerted onto a moving charge if certain magnetic field is present or if certain electric field or ... Read More

Key Insights

• ☺️ The force exerted on a moving charge in a magnetic field is calculated using the formula f_bar = q(v_bar x b_bar).
• ❎ The magnitude of the force can be obtained by taking the square root of the sum of the squares of the coefficients in the vector form of the force.
• 🦠 The unit of measurement for the force is newtons, with possible prefixes such as milli or micro depending on the calculation.
• 🎭 The problem can be solved step by step by substituting the given values and performing calculations.
• 🧑‍🏭 The force exerted on a charge can be influenced by both magnetic and electric fields acting together.
• ☺️ The direction of motion of the charge is represented by the velocity vector, which is given in terms of the ax, ay, and az unit vectors.
• 🏑 The magnetic field is represented by the magnetic flux density vector, while the electric field is represented by the electric field intensity vector.

Questions & Answers

Q: What is the formula used to calculate the force exerted on a moving charge in the presence of a magnetic field?

The formula is f_bar = q(v_bar x b_bar), where f_bar is the force vector, q is the magnitude of the charge, v_bar is the velocity vector, and b_bar is the magnetic flux density vector.

Q: How is the magnitude of the force calculated when both magnetic and electric fields are present?

The magnitude of the force is calculated by taking the square root of the sum of the squares of the coefficients in the vector form of the force.

Q: What is the unit of measurement for the force exerted on the charge?

The unit of measurement for the force is newtons. In some cases, it may be expressed as milli newtons or micro newtons depending on the calculation.

Q: What does the direction of motion of the charge represent in the problem?

The direction of motion of the charge is represented by the velocity vector. In the problem, the velocity vector is given as a combination of the ax, ay, and az unit vectors.

Summary & Key Takeaways

• The content focuses on solving a problem that involves finding the magnitude of the vector force exerted on a charge moving in a given magnetic field.

• Three cases are considered: magnetic field only, electric field only, and both magnetic and electric fields acting together.

• The problem is solved step by step, including calculations and obtaining the vector form of the force, and finally concluding with the magnitude of the force.