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# Magnetic Field Assignment Help

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Electromagnetism - Magnetic Field

**Magnetic Field**

If a charged particle having charge q mass m enters a magnetic field B with a velocity v then the force experienced by the particle is

**F = q (v x B)**

This principle is used in television receiver for deflection of electrons. The unit of magnetic field is

**B = Wb/m **^{-2} or teals

The CGS unit is gauss = **Maxwell/cm**^{2}

If electric and magnetic fields are present then the force experienced is called Lorentz force and is given by

**F = q E + q (v x B**_{0})

J.J. Thomson used this method to fined e/m

If the velocity of a charged particle is always perpendicular to the magnetic field then it describes a circle of radius R such that

**R = mv/qB**

Time period of revolution

**T = 2π/v = 2πm/qB**

Cyclotron frequency

**F = I/T = qB/2 πm**

If the charged particle enters obliquely in a magnetic field then the velocity can be resolved into x and y components the y perpendicular component describes a circle and x parallel component describes linear motion. Therefore, the particle moves in a helix.

The horizontal or linear distance moved in one complete revolution is called the pitch of the helix.

Pitch of the helix = **vxT = vx (2πm/qB)**

Magnetic force of due to a current carrying conductor

**d F = I dI x B **

the direction of force is determined using Fleming's left hand rule.

If the conductor is straight **F = 1 I x B**

Otherwise integrate to find **F = ∫1 dI x B**

Torque acting on a current carrying loop **τ = I A x B**

If there are n loops **τ = nI A x B** where A is area vector **A = Ib**

**τ = M x B'** where **M = IA **or **nIA** is magnetic dipole moment.

Biot savart law

**d**_{B} = μ_{0}/4π I dI x r/r^{3}

is the magnetic field due to a length dl of a conductor carrying current I at a distance r from the conductor.

**dB = π**_{0} IdI din ∅ / 4 π^{2} where μ_{0} = 4π x 10 ^{- 7} Wb (A-m)^{ -1} or henerym^{-1 }

ExpertsMind.com - Magnetic Field Assignment Help, Magnetic Field Homework Help, Magnetic Field Assignment Tutors, Magnetic Field Solutions, Magnetic Field Answers, Electromagnetism Assignment Tutors

**Magnetic Field**

**F = q (v x B)**

This principle is used in television receiver for deflection of electrons. The unit of magnetic field is

**B = Wb/m**

^{-2}or tealsThe CGS unit is gauss =

**Maxwell/cm**

^{2}If electric and magnetic fields are present then the force experienced is called Lorentz force and is given by

**F = q E + q (v x B**

_{0})J.J. Thomson used this method to fined e/m

If the velocity of a charged particle is always perpendicular to the magnetic field then it describes a circle of radius R such that

**R = mv/qB**

Time period of revolution

**T = 2π/v = 2πm/qB**

Cyclotron frequency

**F = I/T = qB/2 πm**

If the charged particle enters obliquely in a magnetic field then the velocity can be resolved into x and y components the y perpendicular component describes a circle and x parallel component describes linear motion. Therefore, the particle moves in a helix.

The horizontal or linear distance moved in one complete revolution is called the pitch of the helix.

Pitch of the helix =

**vxT = vx (2πm/qB)**

Magnetic force of due to a current carrying conductor

**d F = I dI x B**

the direction of force is determined using Fleming's left hand rule.

If the conductor is straight

**F = 1 I x B**

Otherwise integrate to find

**F = ∫1 dI x B**

Torque acting on a current carrying loop

**τ = I A x B**

If there are n loops

**τ = nI A x B**where A is area vector

**A = Ib**

**τ = M x B'**where

**M = IA**or

**nIA**is magnetic dipole moment.

Biot savart law

**d**

_{B}= μ_{0}/4π I dI x r/r^{3}

is the magnetic field due to a length dl of a conductor carrying current I at a distance r from the conductor.

**dB = π**

_{0}IdI din ∅ / 4 π^{2}where μ_{0}= 4π x 10^{- 7}Wb (A-m)^{ -1}or henerym^{-1 }

ExpertsMind.com - Magnetic Field Assignment Help, Magnetic Field Homework Help, Magnetic Field Assignment Tutors, Magnetic Field Solutions, Magnetic Field Answers, Electromagnetism Assignment Tutors