In physics (specifically in electromagnetism) the Lorentz force (or electromagnetic force) is the combination of electric and magnetic force on a point charge due to electromagnetic fields. A particle of charge q moving with a velocity v in an electric field E and a magnetic field B experiences a force of
F
=
q
E
+
q
v
×
B
{\displaystyle \mathbf {F} =q\,\mathbf {E} +q\,\mathbf {v} \times \mathbf {B} }
(in SI units). It says that the electromagnetic force on a charge q is a combination of a force in the direction of the electric field E proportional to the magnitude of the field and the quantity of charge, and a force at right angles to the magnetic field B and the velocity v of the charge, proportional to the magnitude of the field, the charge, and the velocity. Variations on this basic formula describe the magnetic force on a current-carrying wire (sometimes called Laplace force), the electromotive force in a wire loop moving through a magnetic field (an aspect of Faraday's law of induction), and the force on a moving charged particle.
Historians suggest that the law is implicit in a paper by James Clerk Maxwell, published in 1865. Hendrik Lorentz arrived at a complete derivation in 1895, identifying the contribution of the electric force a few years after Oliver Heaviside correctly identified the contribution of the magnetic force.
Homework Statement
A wire with a current of I (flowing into the screen) moves down on a slope.
What is the direction of the magnetic force acting on it?
Homework EquationsThe Attempt at a Solution
I have no Idea why the answer isn't horizontal, but rather opposing its velocity direction.
Homework Statement
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If two current carrying wires carry charges in same direction then from ampere's law,can't they touch each other due to attractive forces?
Homework Statement
Referring to (b) in the picture above: What is the direction of the magnetic force on the electron?
Homework Equations
I use the right-hand rule where by putting your index finger in the direction of the magnetic field and thumb in the direction of the velocity, the middle...
Homework Statement
A circuit with current I has two long parallel wire sections that carry current in opposite directions. Find magneticfieldatapointPnearthesewiresthatisadistance a from one wire and b from the other wire as shown in the figure.
Homework Equations
B=μo*I / 2πR
The Attempt...
Homework Statement
A magnetic field of 0.0200 T [up] is created in a region.a) Find the initial magnetic force on an electron initially moving at 5.00 x106 m/s [N] in the field.b) What is the radius of the circular path? Make a sketch showing the path of the electron.
Homework Equations...
Homework Statement
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Homework Statement
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Good day All!
while trying to solve this question
I use the right hand rule and according to it the Force should be directed outward (pointing toward me)
but here is the answer that puzzeld me
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Homework Statement
Homework EquationsThe Attempt at a Solution
Hi! I got the magnitude using F=qvB using information from the top of the qs. But the direction is confusing me. I used the Fleming's left hand rule but it sort of isn't giving me the right answer
Homework Statement
Homework Equations
The right hand curl rule gave me the counterclockwise direction for the magnetic field but I am confused about how is it going to work for the particle. Thanks
The Attempt at a Solution
Homework Statement
Hi! A long, straight, current-carrying wire is placed between a pair of magnets as shown. What is the direction of the force on the wire?
Homework Equations
Fleming's hand rules
The Attempt at a Solution
I used the Flemings right hand rule but that gives me that the force...
Homework Statement
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Homework Statement
[/B]
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<Moderator's note: Moved from a technical forum and therefore no template.>
Homework Statement
A proton (q = 1.60 x 10-19) is in a uniform, 0.500 T magnetic field. This proton has velocity components vx = 1.50 x 105, vy = 0, and vz = 2.00 x 105 m/s. Find the force on the proton at t=0.
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Homework Statement
A rectangular loop of wire, L = 28.8 cm and W = 15.2 cm, carries a I1 = 2.02 A current and lies in a plane (d = 11.0 cm), which also contains a very long straight wire carrying a I2 = 12.7 A current as shown in the figure below.
Homework Equations
F=uo*i1*i2*l/perpindicular...
(1) Magnetic force acting on charge moving in magnetic field is given by,
F = qvBsinθ...F ∝ v
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The equation needs to describe the force between two magnets and should relate to distance, angular frequency, angular acceleration, and torque. I need to find this equation for a research project, but I just can't figure it out and I can't find it online. (I'm new to this website so if this is...
Homework Statement
Homework Equations
f = q.v.B.sin tetha
I = q/t = v/R
The Attempt at a Solution
(1) q =a.b.n.v.t is it right?
(2) I = q/t = abnvt/t = abnv is it right?
(3)F = q.v.B is it right?
(4) ?
(5) ?
is it right?
Homework Statement
2. Homework Equations
FB = ∫I ds×B
The Attempt at a Solution
My first guess was that it would not move at all.
I understand that there is an induced magnetic field in the opposite direction but wouldn't the induced field produce a current counterclockwise, which, since...
Homework Statement
Find the force on the triangular loop in the figure:
I am trying to do this in cylindrical polar coordinates, because it builds character.
Homework Equations
$$\vec{B}(\vec{r}) = \frac{\mu _0}{4\pi} \int \frac{I(d\vec{l} \times \hat{\alpha})}{|\vec{\alpha}|^2}$$
Where alpha...
Homework Statement
A wire along the z-axis carries a current of 6.8 A in the +z direction. Find the magnitude and direction of the force exerted on a 6.1-cm long length of the wire by a uniform magnetic field with magnitude 0.36 T in the -x direction.
Homework Equations
F=I(LxB)
The Attempt...
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Homework Statement
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Homework Statement
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Homework Statement
What velocity does an electron need to have in order to travel straight through the crossed E and B fields, given that E = 1.0 x 105 N/C and B = 0.40 T?
Answer: 2.5 x 105 m/s
Homework Equations
E=F/Q
F=BIl
F=QvB[/B]The Attempt at a Solution
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Homework Statement
Given the figure below[/B]
I need to calculate the total magnetic force on the semicircle section of the conductor.
Current is I, Radius is R, and the Magnetic Field is B.
Homework Equations
d\vec{F} = Id\vec{l} \times \vec{B}[/B]
The Attempt at a Solution
[/B]
dl is...
Hello
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Homework Statement
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Homework Statement
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Homework Statement
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1. A current in a wire which has a length of 2.00m in a magnetic Field of 0.030 Teslas, feels a magnetic force of 0.810 Newtons. What is the current in the wire?2. F=IlB, Find I3. F= 0.810, l= 2.00m, B= 0.030 T, I=? (A)
I= l x B I= 2.00m x 0.030 T I= 0.074 A
F...