Question

Find v(t) for the given circuit, where R-8 Ω and VS-155 sin (3) V. Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees. 2Ω 12 The value of voltage v(t) sin(3t+ V.

Answer 1

Given omega = 3 rad 1/3 F = 1/j omega c = 1/j 3 times 1/3 = -j1 ohm Transformation Ratio k = N_2/N_1 = 4/1 = 4 shift the value of R from secondary to primary. Z_eq = 1 + 0.5 + 2 times -j 1/2 - j 1 Z_eq = [1.9 - j 0.8] Current i = 155 angle 0 degree/Z_eq = 75.186 angle 22.83 degree volts. v/k = 0.5 times i = 37.593 angle 22.83 degree volts v = 150.372 angle 22.83 degree volts v(t) = 150.372 sin [3t + 22.83 degree] volts