1. ENGINEERING ELECTROMAGNETICS
Presentation on:
Force on moving charge differential current element and force between differential current.
Submitted by:
Shivani Dave ( )
Hashvi Mistry ( )
Megh lodaya ( )
Hemangini Sutariya ( )
Submitted to: Mansi Rastogi

2. Force on a moving charge
In an electric field the definition of the electric field intensity shows us that the force on a charged particle is:
The force is in the same direction of the electric field intensity and is directly proportional to E and Q.
The direction of the force is perpendicular to both v and B and is given by a unit vector in the direction of v x B, the force may therefore expressed as:
F=QE
F=Qv x B
Continued….…

3. Continued..
A fundamental difference in the effect of electric and magnetic field on charge particles is now apparent, for a force which is always applied in a direction at right angle to the direction in which the particles is proceeding can never change the magnitude of the particles velocity.

4. Lorentz Force Law
Both the electric field and magnetic field can be defined from the Lorentz force law:

5. Continued..
The electric force is straightforward, being in the direction of the electric field if the charge q is positive, but the direction of the magnetic part of the force is given by the right hand rule.

6. Force On A Moving Charge

7. Force on moving charge differential current element.
A current carrying conductor place in the magnetic field will experience a force. This force is basic to the operation of electric motor and is called the motor force.
Consider a current carrying wire with current going into the page as so in fig. This current will produce magnetic field in clock wise direction. The result of magnetic field of wires Is, it will reinforce the magnet’s field above the wire and weaken it below.

8. The field line are like stretched rubber bends there for it will push the wire in down word direction i.e. force is downward . This example says that current carrying wire in a magnetic field experience a force.
Convection current density in the terms of the velocity of the volume charge density.
J=ρv V

9. To calculate this force :
In this previous section we have seen a force on a charge particle moving through a steady magnetic field is given:
For a differential charge we write the differential force as,
dF = dQv x B

10. We defined convention current density in terms of the velocity of volume charge density ,
J = ƍv × V

11. The difference charge may be expressed in terms of ƍv as
The difference type of current configuration are related through

12. Force on differential current element as
= Kds × Jdv × B
Integrating over line, surface or volume we get the total force as :

13. Force on a Differential Current

14. Force on a Differential Current
dF = dQv x B

16. Force Between Differential Current Elements

17. In the previous section, the filament were straight and infinite in nature .
it is required to obtain result of differential filament and then integrating over the limit ,the can be obtained for any type of current filament.

18. Let us consider two differential current filament I₁ dl₁ and I₂ dl₂ at point 1and 2 respectively.

19. The force on differential current element at point 2 is obtained by,
DF= I dī×B
Where I dī corresponds to current in element 2f and B corresponds to flux density at Point 2 due to current element 1.
since element 1 is differential element we replace B by dB₂.

20. Now the force we get is the differential amount of our differential force on element 2 as d(dF₂).
D(dF₂)= I₂ dl₂ ×B₂
The fiux density can be obtained using Biot sarvant law

21. Thank you