Kirchhoff’s Laws with the equations can be used to compute the response of a parallel tuned LC circuit for difference applied emfs. The first step is calculate the applied emf and then specify the initial values for the vS variables for voltages current powers and energies v, i, p u. = = 0 assume capacitor is initially vS(0) vR(0) vp(0) discharged = / = / = 0 = 0 iR(0) vR(0) R iRL(0) vp(0) RL iL(0) = iC(0) iR(0) = = i(0) = pS(0) vS(0) i(0) pR(0) vR(0) pC(0) vC(0) = i(0) i(0) pRL(0) vRL(0) = 0 = 0 = 0 = 0 uS(0) uR(0) uC(0) uR(0) Values at all later times are found by implementing the routine in the order shown For accurate results the tine increment should be chosen so that t << 1 / where is the frequency of the emf. t f f MATLAB FILE FOR PARALLEL TUNERD CIRCUIT %m260aj.m %2 feb 00 %parallel tuned LC circuit with load resistor %numerical analysis - leap frog method %sinusoidal emf
Kirchhoff’s Laws with the equations can be used to compute the response of a parallel tuned LC circuit for difference applied emfs. The first step is calculate the applied emf vS and then specify the initial values for the variables for voltages v, current i, powers p and energies u. vS(0) = vR(0) vp(0) = 0 assume capacitor is initially discharged iR(0) = vR(0) / R iRL(0) = vp(0) / RL = 0 iL(0) = 0 iC(0) = iR(0) pS(0) = vS(0) i(0) pR(0) = vR(0) i(0) pC(0) = vC(0) i(0) pRL(0) = vRL(0) i(0) uS(0) = 0 uR(0) = 0 uC(0) = 0 uR(0) = 0 Values at all later times are found by implementing the routine in the order shown For accurate results the tine increment t should be chosen so that t << 1 / f where f is the frequency of the emf. MATLAB FILE FOR PARALLEL TUNERD CIRCUIT %m260aj.m %2 feb 00 %parallel tuned LC circuit with load resistor %numerical analysis - leap frog method %sinusoidal emf
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