微分方程在RLC电路中的应用实践
Electrical circuitfractional differential equationgeneralized Mittag-Leffler functionSumudu transformA main attribute of the Sumudu transform lies in its units preserving property. Connected to Fourier, bilateral, two-sided, and ordinary Laplace transforms, the Sumudu is beginning to claim more fame through...
This paper gives two traditional examples of the resolution of the RLC circuit. The pictures drawn by Matlab for the solution of the differential equation are also contained in this paper. 关键词:RLC 电路、微分方程、Matlab 一、 RLC 电路与二阶微分方程 RLC 电路是一种由电阻(R)、电感(L...
An RLC circuit is called a second-order circuit as any voltage or current in the circuit can be described by a second-order differential equation for circuit analysis.Contents [hide]1 Configurations 2 Similarities and differences between series and parallel circuits 3 Fundamental Parameters 3.1 ...
Based on the loop voltage law and the ferrari'selectromagnetic induction law, the mathematical model of the RLC circuit system is established -the second order lineardifferential equation with constant coefficients. By analyzing the solution of this differential equation, trends of voltage andcurrent, ...
und the circuit to zero gives us v C (t ) " L dI(t dt ) " RI(t ) = 0 (2) Expressing the current in terms of the time-dependent voltage across the capacitor, vC, yields the following differential equation for vC: ! d2vC(t) dt 2 + R L dvC(...
As in (33), this is a particular solution of a damped and forced differential equation for an RLCq circuit with a power source:d2Qq(t)dt2+RLdQq(t)dt+ωq2Qq(t)=ϵq(t), whereϵq(t)=2ħ2Lωe−Rt Conclusion In this paper we considered an RLC circuit type realization of q-...
If we now assume that at time t = 0 the circuit is energized (or “shocked”) with an initial current i(0), then the resulting solution to the above homogeneous equation should give us the natural voltage response v for this circuit. It should now be noted that Eq. (1.59) contains ...
内容提示: 微分方程在 RLC 电路中的应用 1 微分方程在 RLC 电路中的应用 Abstract The relationship of RLC circuit and differential equation has been discussed. This paper gives two traditional examples of the resolution of the RLC circuit. The pictures drawn by Matlab for the solution of the ...
Why does RLC have 4 values? I expect 3, for R, L, and C. And, based on your comment, I expect Phase Times to have 5 elements, since RLC has 4. Are R and L and C circuit elements in a passive filter? RLC is not used in the differe...