Kirchhoff’s voltage law (KVL) yields

May 19th, 2015
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The loop equations for the circuit as follows, Loop 1, (Z_1+Z_2 ) I_1-(Z_2 ) I_2=E_1 Loop 2, 〖-Z〗_2 I_1+(Z_2+Z_3 ) I_2=〖-E〗_2 Which, after substituting the impedance values into the expressions, become, Loop 1, (3Ω+j2Ω) I_1-(j4Ω) I_2=3V∠〖40〗^0Loop 2,

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Engineering MathematicsLinear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors.Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.Differential equations: First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and boundary value problems, Partial Differential Equations and variable separable method.Complex variables: Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent' series, Residue theorem, solution integrals.Proba

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