Electromagnetism: Solenoids and Magnetic Fields

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Questions and Answers

How does the magnetic field strength at one end of a semi-finite solenoid compare to that of an infinite solenoid?

It is one quarter of the infinite solenoid's field strength.
It is the same as the infinite solenoid's field strength.
It is greater than the infinite solenoid's field strength.
It is half the infinite solenoid's field strength. (correct)

What is the expression for the magnetic field inside a toroid?

$B = rac{ u_0NI}{2 ext{radius}}$
$B = rac{ u_0NI}{2 ext{length}}$
$B = rac{ u_0NI}{2\pi r}$ (correct)
$B = rac{ u_0NI}{ ext{length}}$

Which of the following factors does NOT affect the force acting on a charged particle in a magnetic field?

Mass of the particle (correct)
Charge of the particle
Angle between velocity and magnetic field
Velocity of the particle

Which parameter increases as the number of turns (N) in a solenoid increases, assuming other factors remain constant?

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Flashcards

Magnetic Field of an Infinite Solenoid

The magnetic field strength inside an infinite solenoid, calculated as the product of the permeability of free space, the number of turns, the current, and divided by the length of the coil.

Magnetic Field of a Toroid

The magnetic field strength inside a toroid, calculated as the product of the permeability of free space, the number of turns, the current, and divided by the circumference of the toroid.

Force on a Charged Particle in a Magnetic Field

The force experienced by a charged particle moving in a magnetic field, calculated as the product of the charge, velocity, magnetic field strength, and the sine of the angle between the velocity vector and magnetic field vector.

Magnetic Field at the End of a Solenoid

The magnetic field strength at one end of a semi-finite solenoid, calculated as half the magnetic field of an infinite solenoid.

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Factors Affecting Magnetic Field in a Solenoid

The magnetic field strength inside a solenoid is proportional to the number of turns of the coil and the current flowing through it, and inversely proportional to the length of the coil.

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Study Notes

Magnetic Field Due to an Infinite Solenoid

A solenoid is a type of electromagnet
Composed of a helical coil of wire
Number of loops per unit length denoted by "n"
Magnetic field strength (B) is calculated using the formula: B = μ₀nI

Magnetic Field at One End of a Solenoid

For a finite solenoid, the magnetic field at one end is given by: B = (μ₀nI) / 2
This simplifies to: B = μ₀nI/2 for a semi-infinite solenoid

Magnetic Field Due to a Toroid

The magnetic field (B) for a toroid is given by the equation: B = (μ₀nI) / 2πr
- Where:
  - n is the turns density
  - I is the current
  - r is the radius

Force on a Charge Particle in an External Magnetic Field

The force (F) on a charged particle (q) moving with velocity (v) in a magnetic field (B) is given by: F = qvBsinθ
- Where θ is the angle between the velocity vector and the magnetic field vector