Physics of Magnetic Fields

A set of 20 flashcards covering key concepts related to magnetic fields, including the right-hand rule, solenoid properties, Ampere's Law, and practical applications.

According to Biot-Savart Law, what does the magnetic field depend on?

The current, the distance from the wire, and the angle between the wire and the point of interest.

What happens to the magnetic field inside a long solenoid?

The magnetic field inside is uniform and parallel, depending on the current and turns density.

How is the magnetic field direction defined above and below a sheet of current?

It is opposite above and below the sheet of current.

What is Ampere's Law?

The closed path integral of the magnetic field around a loop is proportional to the current enclosed by the loop.

What does it mean when the magnetic field is proportional to -i hat direction above a sheet current?

It indicates that the magnetic field is directed to the left.

What is the formula for the magnetic field of an ideal solenoid?

B = μ₀ * n * I, where μ₀ is the magnetic constant, n is the wire density, and I is the current.

What is the significance of the factor of one half in the ideal solenoid result?

It accounts for the contributions from both sides of the solenoid.

How do you evaluate a closed path integral for magnetic fields?

By integrating the magnetic field along the differential displacement vector, taking the cosine of the angle between them.

What conditions must be met to use the infinite solenoid approximation?

The length of the solenoid must be at least 10 times greater than its radius.

What happens to the magnetic field between two parallel currents in the same direction?

The fields add up and increase the magnetic field strength in that region.

What is the effect of reversing the current direction in a solenoid?

It reverses the direction of the magnetic field inside and outside the solenoid.

What does it mean for the magnetic field to be zero outside of a long solenoid?

There is negligible magnetic field strength due to cancellation of fields from opposite ends.

What is the current density in a context involving multiple wires?

It is defined as the number of wires per unit length.

How does the magnetic field behave near the ends of a solenoid?

It is stronger near the ends where the magnetic field lines begin to spread out.

How do currents influence the magnetic field direction?

Different current directions will create magnetic fields that can either reinforce or cancel each other.

What is the importance of geometric arrangements in magnetic field calculations?

The spatial configuration determines the strength and direction of the resulting magnetic fields.

What does the term 'linear density' refer to in the context of multiple wires?

It refers to the number of wires per unit width or length.