Charge Moving In A Constant Magnetic Field
Strings (SiPjAjk) = S7P3A31 Base Sequence = 12735 String Sequence = 12735 - 3 - 31
Figure 1.2 shows a charge q moving with velocity u (a vector) in a magnetic field with magnetic flux density B (a vector). Assuming that the field is a scalar field (i.e, it is spatially unidirectional).
(a) Express the vector force f in terms of the charge q, and the vectors u and B.
(b) What is the magnitude of f If u makes an angle θ with the magnetic field?
(c) Suppose the magnetic flux lines are perpendicular to a cross sectional area A (fig1.3). Express the magnetic flux ψ, of the field in terms of the flux density B.
(d) State Faraday's Law that relate magnetic flux φ to eletromotive force (emf), e.
S7P3A31 (Force - Pull).
Pj Problem of interest is of type force. The force a magnetic field exert can be a pull or a push. Force-push is exerted in a field where repulsion is dominant while force-pull is exerted a field where attraction is dominant.
Magnetic fields are generated by electric charge in motion. Their effect is measured by the force they exert on a moving charge.
(a) Vector force, f = qu x B ------(1)
Where the symbol x in equation (1) is a cross product.
(b) Magnitude of vector force = |f| = q|u||B|sinθ = quBsinθ
(c) The magnetic flux φ is expressed as an integral as follows:
Where φ is in webers and the integral subscript A indicates that the integration is over the surface area, A.
When the magnetic flux is uniform over the cross sectional area, A; the integral could be approximated as follows:
φ = B.A (i.e., the flux density B multiplied by the cross sectional area, A).
(d) Faraday's Law of induction states that voltage and therefore current is induced in a conductor in a changing magnetic field.
In other words, a time-varying flux causes an induced electromotive force (emf), e as follows:
e = dφ/dt.
The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
Single Variable Functions
Ordinary Differential Equations (ODEs)
Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation
Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions
Derivation Of Heat Equation For A One-Dimensional Heat Flow
The Universe is composed of matter and radiant energy. Matter is any kind of mass-energy that moves with velocities less than the velocity of light. Radiant energy is any kind of mass-energy that moves with the velocity of light.
Composition And Structure Of Matter
How Matter Gets Composed
How Matter Gets Composed (2)
Molecular Structure Of Matter
Molecular Shapes: Bond Length, Bond Angle
Molecular Shapes: Valence Shell Electron Pair Repulsion
Molecular Shapes: Orbital Hybridization
Molecular Shapes: Sigma Bonds Pi Bonds
Molecular Shapes: Non ABn Molecules
Molecular Orbital Theory
More Pj Problem Strings