PHASOR

The maximum values of the phasors (currents and voltage) in AC circuits can be treated as vectors rotating with an angular frequency equal to the angular frequency of the rotor of the generator. If the phase difference between two phasors vec(A_(1)) and vec(A_(2)) is phi the resultant phasor is : A = sqrt(A_(1)^(2) + A_(2)^(2) + 2A_(1)A_(2) cos phi) and the phase of vec(A) with respects to A_(1) is beta = "tan"^(-1) (A_(2) sin phi)/(A_(1) + A_(2) cos phi) RHS value The rms value of y = f (t) is y_("rms") = {(int_(0)^(T) [f(t)]^(2) dt)/(T)}^((1)/(2)) Average value The average value of y = f (t) is y_(av) = (int_(0)^(T) ydt)/(T) Using the above concept, answer the following questions. The average value of i in i - t graph (Semi circular) is

The maximum values of the phasors (currents and voltage) in AC circuits can be treated as vectors rotating with an angular frequency equal to the angular frequency of the rotor of the generator. If the phase difference between two phasors vec(A_(1)) and vec(A_(2)) is phi the resultant phasor is : A = sqrt(A_(1)^(2) + A_(2)^(2) + 2A_(1)A_(2) cos phi) and the phase of vec(A) with respects to A_(1) is beta = "tan"^(-1) (A_(2) sin phi)/(A_(1) + A_(2) cos phi) RHS value The rms value of y = f (t) is y_("rms") = {(int_(0)^(T) [f(t)]^(2) dt)/(T)}^((1)/(2)) Average value The average value of y = f (t) is y_(av) = (int_(0)^(T) ydt)/(T) Using the above concept, answer the following questions. The rms value of i_(3) is

The maximum values of the phasors (currents and voltage) in AC circuits can be treated as vectors rotating with an angular frequency equal to the angular frequency of the rotor of the generator. If the phase difference between two phasors vec(A_(1)) and vec(A_(2)) is phi the resultant phasor is : A = sqrt(A_(1)^(2) + A_(2)^(2) + 2A_(1)A_(2) cos phi) and the phase of vec(A) with respects to A_(1) is beta = "tan"^(-1) (A_(2) sin phi)/(A_(1) + A_(2) cos phi) RHS value The rms value of y = f (t) is y_("rms") = {(int_(0)^(T) [f(t)]^(2) dt)/(T)}^((1)/(2)) Average value The average value of y = f (t) is y_(av) = (int_(0)^(T) ydt)/(T) Using the above concept, answer the following questions. The current i_(1) and i_(2) in A.C circuit are given as: i_(1) = 4 sin (omega t - (pi)/(3)) and i_(2) = 4 sin (omega t + (pi)/(3)) The current i_(3) can be given as :

An ac source of voltage V = V_ 0sin omegat is connected to a series combination of L, C and R. Use the phasor diagram to obtain expressions for impedance of the circuit and phase with the voltage. What is circuit in this condition called?

In a circuit, an inductor (L), capacitor (C) and resistor (R) are connected in parallel across a source of emf given by epsilon=epsilon_(0) sin omega t . Find the current through the mains and draw a phasor diagram.

figure, shows a source of alternating voltage connected to a capacitor and a resistor. Which of the following phasor diagrams correctly describes the phase relationshop between (I_C) the current between the source and the capacitor and (I_R) the current in the resistor?