RMS Value and Average Value #!#Phase Difference #!#Phasors

Phase and Phase Difference

Phase and phase difference

Alternating Voltage & Current|Average Value(Mean Value)|RMS Value|Phase And Phase Difference

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 average value of i in i - t graph (Semi circular) is

A series combination of circuit elements X and Y is connected across AC mains. The current is ahead of voltage by a phase difference of pi /3 radians . The element Y is a resistor of 150 Omega . Name the circuit element X. Calculate the rms value of current if rms value of voltage is 150 V.

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 :

Average Value||Mean Value||RMS Value

Average Value||Mean Value||RMS Value