Magnetic Field Energy And Incremental Inductance
Strings (SiPjAjk) = S7P3A32 Base Sequence = 12735 String Sequence = 12735 - 3 - 32
Figure 16.2 shows the i - λ characteristics of an iron-core inductor:
(a) Calculate the energy and incremental inductance for i = 1 A.
(b) Given that the sinusoidal current i(t) = 0.5sin2πt and coil resistance is 2Ω, calculate the voltage across the terminals of the inductor.
S7P3A32 (Force - Push).
Pj Problem of interest is of type force. Energy, power and voltage problems are force problems
Energy for i = 1A (λ = 3), is:
Wm = Area bounded by λ = 3; λ = 0 and the characteristics curve
So, Wm = area of trapezoid + area of triangle
So, Wm = 1/2(3-2)(1 + 0.5) + 1/2(2)(0.5) = 0.75 + 0.5 = 1.25 J.
Incremental inductance, LΔ = (di/dλ)-1
So, LΔ = inverse of slope of curve at i= 1 A (λ = 3)
So, LΔ = [(1-0.5)/3-2]-1 = (0.5)-1 = 2 H.
Voltage across terminal of inductor, v = iR + LΔ(di/dt)
So, v = 2(0.5sin2πt) + 2(0.5)(2π)cos2πt = sin2πt + 2πcos2πt.
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)
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