Answer all parts In a simple AC circuit show on the right, C + 0.161 F and trian

Question

Answer all parts

In a simple AC circuit show on the right, C + 0.161 F and triangle = triangle V_max sin(omega t), where triangle V_max = 16 V and omega = 3 rad/s. Randomized vVariables C = 0.161 F triangle V_max = 16 V omega = 3 rad/s Express the capacitive reactance, X_C, in terms of C and omega. Calculate the numerical value of X_C, in ohms. Express the current I as a function of time in terms of triangle_,max and X_C Express the maximum of the current, I_max in terms of triangle V_max and X_C. calculate the numerical valure of I_max in amps. If the voltage V reaches V_max at t_V,max = 1.0 s, when does current first get to I_max after this, in seconds? Express the power p in terms of I and triangle triangle. Express the power P in terms of C, triangle V_max and omega. Calculate the numerical value of P_avg, in watts

Explanation / Answer

(1)
Xc = 1/ (w*C)

(2)
Numerical Value of Xc, = 1/ (w*C)
Xc = 1/ (3*0.161)
Xc = 2.07 ?

(3)
I = Vmax * sin(w*t) / Xc

(4)
For Max Value, sin(w*t) = 1
Imax = Vmax/Xc

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