The formula of calculating ampere force
with the left hand, the four fingers point to the current direction, and let the magnetic inction line pass through the palm of the hand. The thumb is perpendicular to the four fingers. The direction of the thumb is the direction of the force
Ampere force formula: F = ilbsin α, among α Is the angle between the current direction and the magnetic field direction. A straight conctor with I current and l length
The direction of Ampere force is determined by the left hand rule. For any shape of current under the force of non-uniform magnetic field, the current can be divided into many current elements I Δ 50. The magnetic field B at each current element can be regarded as a uniform magnetic field, and the ampere force is Δ F=I Δ L·Bsin α, Adding these ampere force vectors together is the force on the whole current It should be noted that when the current direction is the same as or opposite to the magnetic field direction, namely α= 0 or π The current is not affected by the force of magnetic field. When the current direction is perpendicular to the magnetic field direction, the maximum ampere force on the current is f = bil. B is the magnetic inction intensity, I is the current intensity, and l is the length of the wire perpendicular to the magnetic inction line The essence of Ampere force forms the resultant force of Lorentz force on the charge moving in the direction of current. This is the conclusion from the experiment. Similarly, when the moving direction of the charge is parallel to the magnetic field, it is not affected by the Lorentz forcewhen the current direction is parallel to the magnetic field, the directional moving direction of the charge is parallel to the magnetic field, the Lorentz force is zero, and the resultant ampere force is zero
Lorentz force does not do work because the direction of force is perpendicular to the direction of particle motion. According to the formula of work, w = fscos θ,θ= ninety ° W = 0. The ampere force is perpendicular to the direction of the current in the wire, and not necessarily perpendicular to the direction of movement of the wire. Generally, most of the cases are in the same straight line, so the work done by the ampere force is not zero
(1) ampere rule of linear current: hold the wire with your right hand, make the direction of the straight thumb consistent with the direction of the current, then the direction of the curved four fingers is the surrounding direction of the magnetic inction wire
(2) ampere rule of ring current: make the direction of the right hand curved four fingers consistent with the direction of the ring current, then the direction of the straight thumb is the N pole
or equivalent to
Where is the magnetic field strength and
is the differential form of the circuit length
and E = BLV is the motional electromotive force, That is to say, the inced current generated by the cutting magnetic inction line motion of the object in the magnetic field, so the speed of the object motion and the magnetic field should be perpendicular
the ampere force or current generated by these two formulas will be perpendicular to the magnetic field strength and the direction of the object velocity, which is the result
Bsin θ, It is understood as the component or projection of B in L direction
LSIn θ, The component or projection of L in B direction
