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32 Cards in this Set
- Front
- Back
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Direction of magnetic force |
Perpendicular to the velocity vector and the field vector. Also, it follows the right hand rules. |
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Right hand rule (positive particles) |
1. Using your right hand, point your fingers in the direction of v and then curl them toward the direction of B Your upright thumb shows the direction of F 2. Point your fingers in the direction of B with v coming out of your thumb, The magnetic force on a positive particle is in the direction of your palm. |
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Magnitude of the magnetic force on a charged particle moving in a magnetic field |
F= |q|vBsin(θ) |
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When is magnetic force zero? |
When it moves in the same direction as the velocity or the opposite direction |
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When is magnetic force the maximum |
When it is perpendicular to B |
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Relationship between angle of electric force and electric field |
They are in the same direction |
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Relationship between angle of magnetic force and magnetic field |
Magnetic force is perpendicular to the field |
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Will the magnetic force affect a stationary object? |
No |
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Does the magnetic force does work? |
No, when a particle is displaced, the magnetic field does no work because it is perpendicular to the displacement of its point of application. |
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Can magnetic force effect kinetic energy? |
No, it can be altered in direction, but it cannot change the speed or kinetic energy of the particle |
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SI Unit of magnetic field |
Tesla (T) = N/ (C m/s) = N/ (Am) |
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Direction of the magnetic force on a partcle |
The magnetic force is always directed towards the center of a circle and a particle in a field can always be represented as a circle |
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Direction of rotation |
If q is positive, it is counterclockwise If q is negative, it is clockwise |
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Radius in a magnetic field |
r= mv/qB |
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Angular speed (Cyclotron frequency) of a particle (2 equations) |
w= v/r = qB/m |
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Period of motion in a field (3 equations) |
T= 2πr/v = 2π/w = 2πm/qB |
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Force if a moving charged particle is in the presence of both an electric field and a magnetic field |
F= qE + (qv x B) |
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What is the velocity when the electric field and the magnetic field are equivalent? |
Because the forces cancel, it moves in a straight vertical line, v= E/B |
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What happens if the velocity of a particle moving too fast or too slow in between magnetic and electric forces |
If it is too fast, it goes towards the magnetic force If it is too slow, it goes towards the electric force The speed is v= E/B |
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Mass spectrometer equation |
m/q = (rB₀B)/E |
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Kinetic energy of a particle |
K= .5mv² = (q²B²R²) / (2m) |
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Force on a segment of current carrying wire in a uniform magnetic field |
F= IL x B |
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The magnetic force exerted on a small segment of vector length ds in the presence of a field is |
dF = Ids × B |
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Total force acting on a section of wire from a to b |
F= I∫ ds × B integral from a to b |
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Maximum torque upon an area |
t= IAB |
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Net torque about the origin |
t= IAB sinθ |
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Torque on a current loop in a magnetic field |
t= IA x B |
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Magnetic dipole moment of a current loop |
µ= NIA N= number of loops of the same area |
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Torque on a magnetic moment in a magnetic field |
t= µ×B |
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Potential energy of a system of a magnetic moment in a magnetic field |
U= -µ · B |
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Where is the minimum and maximum potential energy |
Minimum: when µ points in the same direction as B Maximum: when µ points in the opposite direction of B |
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Formula for voltage of Hall |
∆V = Ed = vBd = IB/nqt = RIB/t d= width of conductor t= thickness of conductor |
