T1LRDFind the charge and current at time t by using Laplace transformation,in L-R-C circuit i.e.,d²QLdt2= 1H andCdQdtF with E(t) = 8(t) volt and1+ R-+-Q = E(t)with R = 0N, L :theinitial charge = Q(0) = 0 unitand initial current =Q'(0) = 0 unit.Where, E(t) = delta function.

As we know that laplace transform is given byLy''=s2Ys-sy0-y'0and L(y')=sYs-y(0)and Lδt=1

Answered: Find the charge and current at time t…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Find the charge and current at time t by using Laplace transformation, in L-R-C circuit i.e., d²Q dQ + R- dt with R = 0N, L = 1H and C 1 L- :Q=E(t) C %3D dt2 F with E(t) = d(t) volt and %3D theinitial charge = Q(0) = 0 unit and initial current = Q'(0) : 0 unit. Where, E(t) = delta function.