Force on a current Force on a current carrying conductorcarrying conductor

Submitted to: Dr. Tariq Bhatti

Submmited by: Ahmad MushtaqRoll No.: 07-45Program BS-itSession 2007-11

Department of Computer ScienceBahauddin Zakariya University,Multan

How to find force on a How to find force on a current carrying current carrying

conductor ?conductor ?Equation for finding force on a moving Equation for finding force on a moving particle can be used to find force on a particle can be used to find force on a current carrying conductor.current carrying conductor.

Source: www.boredofstudies.org

Current

SubstitutingSubstituting

We know that,F = qv x B

Substituting,Velocity v = vd

Total Charge q = Nq = nAlq

Hence,

F = nAlqvd x B

. ..N = nAl

Relation of Force with Relation of Force with Length & CurrentLength & Current

‘l’ has the same direction as ‘vd’ we can write:

lvd = lud

F = nAlqvd x B

Substituting:

F = nAlqud x B

Relation of Force with Relation of Force with Length & CurrentLength & Current

We know that,Current Density j = nqud

and Current I = jA = nqud A

F = nAlqud x B

Hence,

F = Il x B

Magnitude of Magnetic Magnitude of Magnetic ForceForce

Where ‘O’ is angle b/w directions of ‘l ’ & ‘B’.

F = Il x B sin0

Direction of the force can be determined by fleming’s left hand rule

Source: http://physics503.one-school.net

What if conductor is not What if conductor is not straight?straight?

Here we use,

dF=Idl x B

For sum,

F= ∫Idl x B

Conclusion:Conclusion:

The magnitude of the force on length l of the conductor is proportional to the length as well as to the current in the conductor and to the magnitude of the magnetic field.

Elements For Presentation